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Finding the Fourth Proportional to 96,976, 133,828.50 and 63,442

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Solution

The fourth proportional to 96,976, 133,828.50 and 63,442 is: 87,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,976 : 133,828.50 = 63,442 : x
  2. Step 2: Convert to fraction form
    96,976/133,828.50 = 63,442/x
  3. Step 3: Cross multiply
    96,976x = 133,828.50 × 63,442
  4. Step 4: Simplify right side
    96,976x = 8,490,347,697
  5. Step 5: Solve for x
    x = 8,490,347,697/96,976
  6. Step 6: Final answer
    x = 87,551.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.