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Finding the Fourth Proportional to 72,909.60, 109,304.40 and 32,931.20

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Solution

The fourth proportional to 72,909.60, 109,304.40 and 32,931.20 is: 49,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,909.60 : 109,304.40 = 32,931.20 : x
  2. Step 2: Convert to fraction form
    72,909.60/109,304.40 = 32,931.20/x
  3. Step 3: Cross multiply
    72,909.60x = 109,304.40 × 32,931.20
  4. Step 4: Simplify right side
    72,909.60x = 3,599,525,057.28
  5. Step 5: Solve for x
    x = 3,599,525,057.28/72,909.60
  6. Step 6: Final answer
    x = 49,369.70

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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.