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Finding the Fourth Proportional to 78,407.87, 108,202.95 and 42,597.92

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Solution

The fourth proportional to 78,407.87, 108,202.95 and 42,597.92 is: 58,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.87 : 108,202.95 = 42,597.92 : x
  2. Step 2: Convert to fraction form
    78,407.87/108,202.95 = 42,597.92/x
  3. Step 3: Cross multiply
    78,407.87x = 108,202.95 × 42,597.92
  4. Step 4: Simplify right side
    78,407.87x = 4,609,220,607.86
  5. Step 5: Solve for x
    x = 4,609,220,607.86/78,407.87
  6. Step 6: Final answer
    x = 58,785.18

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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.