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Finding the Fourth Proportional to 65,755.71, 98,658.41 and 39,478.77

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Solution

The fourth proportional to 65,755.71, 98,658.41 and 39,478.77 is: 59,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,755.71 : 98,658.41 = 39,478.77 : x
  2. Step 2: Convert to fraction form
    65,755.71/98,658.41 = 39,478.77/x
  3. Step 3: Cross multiply
    65,755.71x = 98,658.41 × 39,478.77
  4. Step 4: Simplify right side
    65,755.71x = 3,894,912,479.56
  5. Step 5: Solve for x
    x = 3,894,912,479.56/65,755.71
  6. Step 6: Final answer
    x = 59,233.07

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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.