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Finding the Fourth Proportional to 71,139.79, 106,709.69 and 24,393.07

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Solution

The fourth proportional to 71,139.79, 106,709.69 and 24,393.07 is: 36,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,139.79 : 106,709.69 = 24,393.07 : x
  2. Step 2: Convert to fraction form
    71,139.79/106,709.69 = 24,393.07/x
  3. Step 3: Cross multiply
    71,139.79x = 106,709.69 × 24,393.07
  4. Step 4: Simplify right side
    71,139.79x = 2,602,976,937.85
  5. Step 5: Solve for x
    x = 2,602,976,937.85/71,139.79
  6. Step 6: Final answer
    x = 36,589.61

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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.