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Finding the Fourth Proportional to 77,082.64, 115,531.92 and 39,660.64

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Solution

The fourth proportional to 77,082.64, 115,531.92 and 39,660.64 is: 59,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.64 : 115,531.92 = 39,660.64 : x
  2. Step 2: Convert to fraction form
    77,082.64/115,531.92 = 39,660.64/x
  3. Step 3: Cross multiply
    77,082.64x = 115,531.92 × 39,660.64
  4. Step 4: Simplify right side
    77,082.64x = 4,582,069,598.80
  5. Step 5: Solve for x
    x = 4,582,069,598.80/77,082.64
  6. Step 6: Final answer
    x = 59,443.60

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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.