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Finding the Fourth Proportional to 138,768.66, 208,217.52 and 44,013.78

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Solution

The fourth proportional to 138,768.66, 208,217.52 and 44,013.78 is: 66,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768.66 : 208,217.52 = 44,013.78 : x
  2. Step 2: Convert to fraction form
    138,768.66/208,217.52 = 44,013.78/x
  3. Step 3: Cross multiply
    138,768.66x = 208,217.52 × 44,013.78
  4. Step 4: Simplify right side
    138,768.66x = 9,164,440,117.43
  5. Step 5: Solve for x
    x = 9,164,440,117.43/138,768.66
  6. Step 6: Final answer
    x = 66,041.14

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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.