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Finding the Fourth Proportional to 65,869.50, 90,899.91 and 36,061.50

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Solution

The fourth proportional to 65,869.50, 90,899.91 and 36,061.50 is: 49,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,869.50 : 90,899.91 = 36,061.50 : x
  2. Step 2: Convert to fraction form
    65,869.50/90,899.91 = 36,061.50/x
  3. Step 3: Cross multiply
    65,869.50x = 90,899.91 × 36,061.50
  4. Step 4: Simplify right side
    65,869.50x = 3,277,987,104.47
  5. Step 5: Solve for x
    x = 3,277,987,104.47/65,869.50
  6. Step 6: Final answer
    x = 49,764.87

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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.