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Finding the Fourth Proportional to 72,442.40, 108,689.70 and 32,458.10

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Solution

The fourth proportional to 72,442.40, 108,689.70 and 32,458.10 is: 48,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,442.40 : 108,689.70 = 32,458.10 : x
  2. Step 2: Convert to fraction form
    72,442.40/108,689.70 = 32,458.10/x
  3. Step 3: Cross multiply
    72,442.40x = 108,689.70 × 32,458.10
  4. Step 4: Simplify right side
    72,442.40x = 3,527,861,151.57
  5. Step 5: Solve for x
    x = 3,527,861,151.57/72,442.40
  6. Step 6: Final answer
    x = 48,698.84

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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.