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Finding the Fourth Proportional to 138,301.41, 207,119.51 and 78,957.17

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Solution

The fourth proportional to 138,301.41, 207,119.51 and 78,957.17 is: 118,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,301.41 : 207,119.51 = 78,957.17 : x
  2. Step 2: Convert to fraction form
    138,301.41/207,119.51 = 78,957.17/x
  3. Step 3: Cross multiply
    138,301.41x = 207,119.51 × 78,957.17
  4. Step 4: Simplify right side
    138,301.41x = 16,353,570,361.39
  5. Step 5: Solve for x
    x = 16,353,570,361.39/138,301.41
  6. Step 6: Final answer
    x = 118,245.87

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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.