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Finding the Fourth Proportional to 99,983.19, 137,978.97 and 59,689.42

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Solution

The fourth proportional to 99,983.19, 137,978.97 and 59,689.42 is: 82,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,983.19 : 137,978.97 = 59,689.42 : x
  2. Step 2: Convert to fraction form
    99,983.19/137,978.97 = 59,689.42/x
  3. Step 3: Cross multiply
    99,983.19x = 137,978.97 × 59,689.42
  4. Step 4: Simplify right side
    99,983.19x = 8,235,884,484.62
  5. Step 5: Solve for x
    x = 8,235,884,484.62/99,983.19
  6. Step 6: Final answer
    x = 82,372.70

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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.