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Finding the Fourth Proportional to 65,102.74, 89,841 and 38,247.70

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Solution

The fourth proportional to 65,102.74, 89,841 and 38,247.70 is: 52,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.74 : 89,841 = 38,247.70 : x
  2. Step 2: Convert to fraction form
    65,102.74/89,841 = 38,247.70/x
  3. Step 3: Cross multiply
    65,102.74x = 89,841 × 38,247.70
  4. Step 4: Simplify right side
    65,102.74x = 3,436,211,615.70
  5. Step 5: Solve for x
    x = 3,436,211,615.70/65,102.74
  6. Step 6: Final answer
    x = 52,781.37

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1.5x scale

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.