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Finding the Fourth Proportional to 40,068, 60,102.81 and 12,366

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Solution

The fourth proportional to 40,068, 60,102.81 and 12,366 is: 18,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,068 : 60,102.81 = 12,366 : x
  2. Step 2: Convert to fraction form
    40,068/60,102.81 = 12,366/x
  3. Step 3: Cross multiply
    40,068x = 60,102.81 × 12,366
  4. Step 4: Simplify right side
    40,068x = 743,231,348.46
  5. Step 5: Solve for x
    x = 743,231,348.46/40,068
  6. Step 6: Final answer
    x = 18,549.25

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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.