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Finding the Fourth Proportional to 138,916.49, 191,704.10 and 75,254.45

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Solution

The fourth proportional to 138,916.49, 191,704.10 and 75,254.45 is: 103,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,916.49 : 191,704.10 = 75,254.45 : x
  2. Step 2: Convert to fraction form
    138,916.49/191,704.10 = 75,254.45/x
  3. Step 3: Cross multiply
    138,916.49x = 191,704.10 × 75,254.45
  4. Step 4: Simplify right side
    138,916.49x = 14,426,585,273.45
  5. Step 5: Solve for x
    x = 14,426,585,273.45/138,916.49
  6. Step 6: Final answer
    x = 103,850.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.