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Finding the Fourth Proportional to 72,085.62, 108,151.56 and 34,648.40

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Solution

The fourth proportional to 72,085.62, 108,151.56 and 34,648.40 is: 51,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,085.62 : 108,151.56 = 34,648.40 : x
  2. Step 2: Convert to fraction form
    72,085.62/108,151.56 = 34,648.40/x
  3. Step 3: Cross multiply
    72,085.62x = 108,151.56 × 34,648.40
  4. Step 4: Simplify right side
    72,085.62x = 3,747,278,511.50
  5. Step 5: Solve for x
    x = 3,747,278,511.50/72,085.62
  6. Step 6: Final answer
    x = 51,983.72

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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.