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Finding the Fourth Proportional to 99,910.12, 149,821.02 and 53,151.88

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Solution

The fourth proportional to 99,910.12, 149,821.02 and 53,151.88 is: 79,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,910.12 : 149,821.02 = 53,151.88 : x
  2. Step 2: Convert to fraction form
    99,910.12/149,821.02 = 53,151.88/x
  3. Step 3: Cross multiply
    99,910.12x = 149,821.02 × 53,151.88
  4. Step 4: Simplify right side
    99,910.12x = 7,963,268,876.52
  5. Step 5: Solve for x
    x = 7,963,268,876.52/99,910.12
  6. Step 6: Final answer
    x = 79,704.33

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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.