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Finding the Fourth Proportional to 138,940.83, 208,488.47 and 67,864.28

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Solution

The fourth proportional to 138,940.83, 208,488.47 and 67,864.28 is: 101,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.83 : 208,488.47 = 67,864.28 : x
  2. Step 2: Convert to fraction form
    138,940.83/208,488.47 = 67,864.28/x
  3. Step 3: Cross multiply
    138,940.83x = 208,488.47 × 67,864.28
  4. Step 4: Simplify right side
    138,940.83x = 14,148,918,523.09
  5. Step 5: Solve for x
    x = 14,148,918,523.09/138,940.83
  6. Step 6: Final answer
    x = 101,834.13

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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.