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Finding the Fourth Proportional to 99,468.30, 149,202.45 and 83,721.90

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Solution

The fourth proportional to 99,468.30, 149,202.45 and 83,721.90 is: 125,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,468.30 : 149,202.45 = 83,721.90 : x
  2. Step 2: Convert to fraction form
    99,468.30/149,202.45 = 83,721.90/x
  3. Step 3: Cross multiply
    99,468.30x = 149,202.45 × 83,721.90
  4. Step 4: Simplify right side
    99,468.30x = 12,491,512,598.66
  5. Step 5: Solve for x
    x = 12,491,512,598.66/99,468.30
  6. Step 6: Final answer
    x = 125,582.85

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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.