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Finding the Fourth Proportional to 138,163.32, 207,244.98 and 49,411.44

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Solution

The fourth proportional to 138,163.32, 207,244.98 and 49,411.44 is: 74,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163.32 : 207,244.98 = 49,411.44 : x
  2. Step 2: Convert to fraction form
    138,163.32/207,244.98 = 49,411.44/x
  3. Step 3: Cross multiply
    138,163.32x = 207,244.98 × 49,411.44
  4. Step 4: Simplify right side
    138,163.32x = 10,240,272,894.57
  5. Step 5: Solve for x
    x = 10,240,272,894.57/138,163.32
  6. Step 6: Final answer
    x = 74,117.16

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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.