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Finding the Fourth Proportional to 40,049, 60,078.36 and 12,347

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Solution

The fourth proportional to 40,049, 60,078.36 and 12,347 is: 18,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,049 : 60,078.36 = 12,347 : x
  2. Step 2: Convert to fraction form
    40,049/60,078.36 = 12,347/x
  3. Step 3: Cross multiply
    40,049x = 60,078.36 × 12,347
  4. Step 4: Simplify right side
    40,049x = 741,787,510.92
  5. Step 5: Solve for x
    x = 741,787,510.92/40,049
  6. Step 6: Final answer
    x = 18,522.00

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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.