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Finding the Fourth Proportional to 99,107.70, 148,684.24 and 42,957.20

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Solution

The fourth proportional to 99,107.70, 148,684.24 and 42,957.20 is: 64,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,107.70 : 148,684.24 = 42,957.20 : x
  2. Step 2: Convert to fraction form
    99,107.70/148,684.24 = 42,957.20/x
  3. Step 3: Cross multiply
    99,107.70x = 148,684.24 × 42,957.20
  4. Step 4: Simplify right side
    99,107.70x = 6,387,058,634.53
  5. Step 5: Solve for x
    x = 6,387,058,634.53/99,107.70
  6. Step 6: Final answer
    x = 64,445.63

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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.