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Finding the Fourth Proportional to 99,821.63, 137,816.03 and 63,543.55

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Solution

The fourth proportional to 99,821.63, 137,816.03 and 63,543.55 is: 87,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,821.63 : 137,816.03 = 63,543.55 : x
  2. Step 2: Convert to fraction form
    99,821.63/137,816.03 = 63,543.55/x
  3. Step 3: Cross multiply
    99,821.63x = 137,816.03 × 63,543.55
  4. Step 4: Simplify right side
    99,821.63x = 8,757,319,793.11
  5. Step 5: Solve for x
    x = 8,757,319,793.11/99,821.63
  6. Step 6: Final answer
    x = 87,729.68

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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.