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Finding the Fourth Proportional to 65,712.70, 98,569.05 and 36,115.30

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Solution

The fourth proportional to 65,712.70, 98,569.05 and 36,115.30 is: 54,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712.70 : 98,569.05 = 36,115.30 : x
  2. Step 2: Convert to fraction form
    65,712.70/98,569.05 = 36,115.30/x
  3. Step 3: Cross multiply
    65,712.70x = 98,569.05 × 36,115.30
  4. Step 4: Simplify right side
    65,712.70x = 3,559,850,811.47
  5. Step 5: Solve for x
    x = 3,559,850,811.47/65,712.70
  6. Step 6: Final answer
    x = 54,172.95

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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.