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Finding the Fourth Proportional to 138,186.46, 207,323.43 and 49,438

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Solution

The fourth proportional to 138,186.46, 207,323.43 and 49,438 is: 74,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,186.46 : 207,323.43 = 49,438 : x
  2. Step 2: Convert to fraction form
    138,186.46/207,323.43 = 49,438/x
  3. Step 3: Cross multiply
    138,186.46x = 207,323.43 × 49,438
  4. Step 4: Simplify right side
    138,186.46x = 10,249,655,732.34
  5. Step 5: Solve for x
    x = 10,249,655,732.34/138,186.46
  6. Step 6: Final answer
    x = 74,172.65

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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.