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Finding the Fourth Proportional to 81,411.80, 122,036.89 and 38,642.29

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Solution

The fourth proportional to 81,411.80, 122,036.89 and 38,642.29 is: 57,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.80 : 122,036.89 = 38,642.29 : x
  2. Step 2: Convert to fraction form
    81,411.80/122,036.89 = 38,642.29/x
  3. Step 3: Cross multiply
    81,411.80x = 122,036.89 × 38,642.29
  4. Step 4: Simplify right side
    81,411.80x = 4,715,784,263.56
  5. Step 5: Solve for x
    x = 4,715,784,263.56/81,411.80
  6. Step 6: Final answer
    x = 57,925.07

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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.