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Finding the Fourth Proportional to 181,565.94, 272,348.48 and 86,507.58

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Solution

The fourth proportional to 181,565.94, 272,348.48 and 86,507.58 is: 129,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,565.94 : 272,348.48 = 86,507.58 : x
  2. Step 2: Convert to fraction form
    181,565.94/272,348.48 = 86,507.58/x
  3. Step 3: Cross multiply
    181,565.94x = 272,348.48 × 86,507.58
  4. Step 4: Simplify right side
    181,565.94x = 23,560,207,921.48
  5. Step 5: Solve for x
    x = 23,560,207,921.48/181,565.94
  6. Step 6: Final answer
    x = 129,761.17

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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.