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Finding the Fourth Proportional to 72,581.60, 108,872.40 and 31,032.80

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Solution

The fourth proportional to 72,581.60, 108,872.40 and 31,032.80 is: 46,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,581.60 : 108,872.40 = 31,032.80 : x
  2. Step 2: Convert to fraction form
    72,581.60/108,872.40 = 31,032.80/x
  3. Step 3: Cross multiply
    72,581.60x = 108,872.40 × 31,032.80
  4. Step 4: Simplify right side
    72,581.60x = 3,378,615,414.72
  5. Step 5: Solve for x
    x = 3,378,615,414.72/72,581.60
  6. Step 6: Final answer
    x = 46,549.20

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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.