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Finding the Fourth Proportional to 74,023.60, 111,121.80 and 42,458.80

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Solution

The fourth proportional to 74,023.60, 111,121.80 and 42,458.80 is: 63,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,023.60 : 111,121.80 = 42,458.80 : x
  2. Step 2: Convert to fraction form
    74,023.60/111,121.80 = 42,458.80/x
  3. Step 3: Cross multiply
    74,023.60x = 111,121.80 × 42,458.80
  4. Step 4: Simplify right side
    74,023.60x = 4,718,098,281.84
  5. Step 5: Solve for x
    x = 4,718,098,281.84/74,023.60
  6. Step 6: Final answer
    x = 63,737.76

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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.