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Finding the Fourth Proportional to 65,658.74, 90,617.13 and 37,358.96

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Solution

The fourth proportional to 65,658.74, 90,617.13 and 37,358.96 is: 51,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,658.74 : 90,617.13 = 37,358.96 : x
  2. Step 2: Convert to fraction form
    65,658.74/90,617.13 = 37,358.96/x
  3. Step 3: Cross multiply
    65,658.74x = 90,617.13 × 37,358.96
  4. Step 4: Simplify right side
    65,658.74x = 3,385,361,281.90
  5. Step 5: Solve for x
    x = 3,385,361,281.90/65,658.74
  6. Step 6: Final answer
    x = 51,559.95

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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.