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Finding the Fourth Proportional to 78,365.68, 108,146.50 and 42,557.20

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Solution

The fourth proportional to 78,365.68, 108,146.50 and 42,557.20 is: 58,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,365.68 : 108,146.50 = 42,557.20 : x
  2. Step 2: Convert to fraction form
    78,365.68/108,146.50 = 42,557.20/x
  3. Step 3: Cross multiply
    78,365.68x = 108,146.50 × 42,557.20
  4. Step 4: Simplify right side
    78,365.68x = 4,602,412,229.80
  5. Step 5: Solve for x
    x = 4,602,412,229.80/78,365.68
  6. Step 6: Final answer
    x = 58,729.95

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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.