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Finding the Fourth Proportional to 80,760.64, 121,157.18 and 28,156

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Solution

The fourth proportional to 80,760.64, 121,157.18 and 28,156 is: 42,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,760.64 : 121,157.18 = 28,156 : x
  2. Step 2: Convert to fraction form
    80,760.64/121,157.18 = 28,156/x
  3. Step 3: Cross multiply
    80,760.64x = 121,157.18 × 28,156
  4. Step 4: Simplify right side
    80,760.64x = 3,411,301,560.08
  5. Step 5: Solve for x
    x = 3,411,301,560.08/80,760.64
  6. Step 6: Final answer
    x = 42,239.65

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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.