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Finding the Fourth Proportional to 80,638.16, 120,957.28 and 66,758

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Solution

The fourth proportional to 80,638.16, 120,957.28 and 66,758 is: 100,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,638.16 : 120,957.28 = 66,758 : x
  2. Step 2: Convert to fraction form
    80,638.16/120,957.28 = 66,758/x
  3. Step 3: Cross multiply
    80,638.16x = 120,957.28 × 66,758
  4. Step 4: Simplify right side
    80,638.16x = 8,074,866,098.24
  5. Step 5: Solve for x
    x = 8,074,866,098.24/80,638.16
  6. Step 6: Final answer
    x = 100,137.03

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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.