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Finding the Fourth Proportional to 82,689.76, 123,892 and 45,276.76

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Solution

The fourth proportional to 82,689.76, 123,892 and 45,276.76 is: 67,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,689.76 : 123,892 = 45,276.76 : x
  2. Step 2: Convert to fraction form
    82,689.76/123,892 = 45,276.76/x
  3. Step 3: Cross multiply
    82,689.76x = 123,892 × 45,276.76
  4. Step 4: Simplify right side
    82,689.76x = 5,609,428,349.92
  5. Step 5: Solve for x
    x = 5,609,428,349.92/82,689.76
  6. Step 6: Final answer
    x = 67,837.04

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1.5x scale

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.