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Finding the Fourth Proportional to 78,538.92, 117,807.80 and 31,791.12

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Solution

The fourth proportional to 78,538.92, 117,807.80 and 31,791.12 is: 47,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.92 : 117,807.80 = 31,791.12 : x
  2. Step 2: Convert to fraction form
    78,538.92/117,807.80 = 31,791.12/x
  3. Step 3: Cross multiply
    78,538.92x = 117,807.80 × 31,791.12
  4. Step 4: Simplify right side
    78,538.92x = 3,745,241,906.74
  5. Step 5: Solve for x
    x = 3,745,241,906.74/78,538.92
  6. Step 6: Final answer
    x = 47,686.45

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1.5x scale

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.