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Finding the Fourth Proportional to 85,411.90, 128,247.45 and 65,712.70

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Solution

The fourth proportional to 85,411.90, 128,247.45 and 65,712.70 is: 98,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.90 : 128,247.45 = 65,712.70 : x
  2. Step 2: Convert to fraction form
    85,411.90/128,247.45 = 65,712.70/x
  3. Step 3: Cross multiply
    85,411.90x = 128,247.45 × 65,712.70
  4. Step 4: Simplify right side
    85,411.90x = 8,427,486,207.62
  5. Step 5: Solve for x
    x = 8,427,486,207.62/85,411.90
  6. Step 6: Final answer
    x = 98,668.76

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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.