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Finding the Fourth Proportional to 71,798.10, 107,894.79 and 38,542.74

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Solution

The fourth proportional to 71,798.10, 107,894.79 and 38,542.74 is: 57,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,798.10 : 107,894.79 = 38,542.74 : x
  2. Step 2: Convert to fraction form
    71,798.10/107,894.79 = 38,542.74/x
  3. Step 3: Cross multiply
    71,798.10x = 107,894.79 × 38,542.74
  4. Step 4: Simplify right side
    71,798.10x = 4,158,560,838.32
  5. Step 5: Solve for x
    x = 4,158,560,838.32/71,798.10
  6. Step 6: Final answer
    x = 57,920.21

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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.