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Finding the Fourth Proportional to 99,772.86, 137,704.11 and 59,489.10

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Solution

The fourth proportional to 99,772.86, 137,704.11 and 59,489.10 is: 82,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,772.86 : 137,704.11 = 59,489.10 : x
  2. Step 2: Convert to fraction form
    99,772.86/137,704.11 = 59,489.10/x
  3. Step 3: Cross multiply
    99,772.86x = 137,704.11 × 59,489.10
  4. Step 4: Simplify right side
    99,772.86x = 8,191,893,570.20
  5. Step 5: Solve for x
    x = 8,191,893,570.20/99,772.86
  6. Step 6: Final answer
    x = 82,105.43

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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.