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Finding the Fourth Proportional to 81,411.52, 122,036.47 and 38,642.00

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Solution

The fourth proportional to 81,411.52, 122,036.47 and 38,642.00 is: 57,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.52 : 122,036.47 = 38,642.00 : x
  2. Step 2: Convert to fraction form
    81,411.52/122,036.47 = 38,642.00/x
  3. Step 3: Cross multiply
    81,411.52x = 122,036.47 × 38,642.00
  4. Step 4: Simplify right side
    81,411.52x = 4,715,733,569.47
  5. Step 5: Solve for x
    x = 4,715,733,569.47/81,411.52
  6. Step 6: Final answer
    x = 57,924.65

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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.