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Finding the Fourth Proportional to 80,732.80, 120,953.40 and 65,861.20

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Solution

The fourth proportional to 80,732.80, 120,953.40 and 65,861.20 is: 98,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,732.80 : 120,953.40 = 65,861.20 : x
  2. Step 2: Convert to fraction form
    80,732.80/120,953.40 = 65,861.20/x
  3. Step 3: Cross multiply
    80,732.80x = 120,953.40 × 65,861.20
  4. Step 4: Simplify right side
    80,732.80x = 7,966,136,068.08
  5. Step 5: Solve for x
    x = 7,966,136,068.08/80,732.80
  6. Step 6: Final answer
    x = 98,672.86

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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.