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Finding the Fourth Proportional to 65,689.66, 98,443.68 and 56,902.78

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Solution

The fourth proportional to 65,689.66, 98,443.68 and 56,902.78 is: 85,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.66 : 98,443.68 = 56,902.78 : x
  2. Step 2: Convert to fraction form
    65,689.66/98,443.68 = 56,902.78/x
  3. Step 3: Cross multiply
    65,689.66x = 98,443.68 × 56,902.78
  4. Step 4: Simplify right side
    65,689.66x = 5,601,719,065.43
  5. Step 5: Solve for x
    x = 5,601,719,065.43/65,689.66
  6. Step 6: Final answer
    x = 85,275.51

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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.