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Finding the Fourth Proportional to 181,805.14, 272,706.96 and 55,445

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Solution

The fourth proportional to 181,805.14, 272,706.96 and 55,445 is: 83,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,805.14 : 272,706.96 = 55,445 : x
  2. Step 2: Convert to fraction form
    181,805.14/272,706.96 = 55,445/x
  3. Step 3: Cross multiply
    181,805.14x = 272,706.96 × 55,445
  4. Step 4: Simplify right side
    181,805.14x = 15,120,237,397.20
  5. Step 5: Solve for x
    x = 15,120,237,397.20/181,805.14
  6. Step 6: Final answer
    x = 83,167.27

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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.