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Finding the Fourth Proportional to 78,700.96, 117,965.53 and 38,747.44

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Solution

The fourth proportional to 78,700.96, 117,965.53 and 38,747.44 is: 58,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,700.96 : 117,965.53 = 38,747.44 : x
  2. Step 2: Convert to fraction form
    78,700.96/117,965.53 = 38,747.44/x
  3. Step 3: Cross multiply
    78,700.96x = 117,965.53 × 38,747.44
  4. Step 4: Simplify right side
    78,700.96x = 4,570,862,295.74
  5. Step 5: Solve for x
    x = 4,570,862,295.74/78,700.96
  6. Step 6: Final answer
    x = 58,078.86

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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.