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Finding the Fourth Proportional to 80,963.64, 121,486.76 and 54,613.16

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Solution

The fourth proportional to 80,963.64, 121,486.76 and 54,613.16 is: 81,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,963.64 : 121,486.76 = 54,613.16 : x
  2. Step 2: Convert to fraction form
    80,963.64/121,486.76 = 54,613.16/x
  3. Step 3: Cross multiply
    80,963.64x = 121,486.76 × 54,613.16
  4. Step 4: Simplify right side
    80,963.64x = 6,634,775,861.76
  5. Step 5: Solve for x
    x = 6,634,775,861.76/80,963.64
  6. Step 6: Final answer
    x = 81,947.60

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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.