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Finding the Fourth Proportional to 78,294.71, 117,446.16 and 22,138.93

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Solution

The fourth proportional to 78,294.71, 117,446.16 and 22,138.93 is: 33,209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.71 : 117,446.16 = 22,138.93 : x
  2. Step 2: Convert to fraction form
    78,294.71/117,446.16 = 22,138.93/x
  3. Step 3: Cross multiply
    78,294.71x = 117,446.16 × 22,138.93
  4. Step 4: Simplify right side
    78,294.71x = 2,600,131,727.78
  5. Step 5: Solve for x
    x = 2,600,131,727.78/78,294.71
  6. Step 6: Final answer
    x = 33,209.55

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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.