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Finding the Fourth Proportional to 181,985,875.20, 272,978,812.80 and 136,636,243.20

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Solution

The fourth proportional to 181,985,875.20, 272,978,812.80 and 136,636,243.20 is: 204,954,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,985,875.20 : 272,978,812.80 = 136,636,243.20 : x
  2. Step 2: Convert to fraction form
    181,985,875.20/272,978,812.80 = 136,636,243.20/x
  3. Step 3: Cross multiply
    181,985,875.20x = 272,978,812.80 × 136,636,243.20
  4. Step 4: Simplify right side
    181,985,875.20x = 37,298,799,454,188,072
  5. Step 5: Solve for x
    x = 37,298,799,454,188,072/181,985,875.20
  6. Step 6: Final answer
    x = 204,954,364.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.