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Finding the Fourth Proportional to 78,206.93, 107,926.11 and 42,397.50

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Solution

The fourth proportional to 78,206.93, 107,926.11 and 42,397.50 is: 58,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,206.93 : 107,926.11 = 42,397.50 : x
  2. Step 2: Convert to fraction form
    78,206.93/107,926.11 = 42,397.50/x
  3. Step 3: Cross multiply
    78,206.93x = 107,926.11 × 42,397.50
  4. Step 4: Simplify right side
    78,206.93x = 4,575,797,248.73
  5. Step 5: Solve for x
    x = 4,575,797,248.73/78,206.93
  6. Step 6: Final answer
    x = 58,508.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.