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Finding the Fourth Proportional to 138,724.16, 208,107.84 and 45,208.16

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Solution

The fourth proportional to 138,724.16, 208,107.84 and 45,208.16 is: 67,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,724.16 : 208,107.84 = 45,208.16 : x
  2. Step 2: Convert to fraction form
    138,724.16/208,107.84 = 45,208.16/x
  3. Step 3: Cross multiply
    138,724.16x = 208,107.84 × 45,208.16
  4. Step 4: Simplify right side
    138,724.16x = 9,408,172,527.97
  5. Step 5: Solve for x
    x = 9,408,172,527.97/138,724.16
  6. Step 6: Final answer
    x = 67,819.28

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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.