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Finding the Fourth Proportional to 138,895.28, 208,357.56 and 45,400.88

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Solution

The fourth proportional to 138,895.28, 208,357.56 and 45,400.88 is: 68,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,895.28 : 208,357.56 = 45,400.88 : x
  2. Step 2: Convert to fraction form
    138,895.28/208,357.56 = 45,400.88/x
  3. Step 3: Cross multiply
    138,895.28x = 208,357.56 × 45,400.88
  4. Step 4: Simplify right side
    138,895.28x = 9,459,616,578.65
  5. Step 5: Solve for x
    x = 9,459,616,578.65/138,895.28
  6. Step 6: Final answer
    x = 68,106.11

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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.