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Finding the Fourth Proportional to 138,869.28, 208,314.72 and 45,384.48

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Solution

The fourth proportional to 138,869.28, 208,314.72 and 45,384.48 is: 68,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,869.28 : 208,314.72 = 45,384.48 : x
  2. Step 2: Convert to fraction form
    138,869.28/208,314.72 = 45,384.48/x
  3. Step 3: Cross multiply
    138,869.28x = 208,314.72 × 45,384.48
  4. Step 4: Simplify right side
    138,869.28x = 9,454,255,243.55
  5. Step 5: Solve for x
    x = 9,454,255,243.55/138,869.28
  6. Step 6: Final answer
    x = 68,080.25

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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.