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Finding the Fourth Proportional to 252,711.30, 348,736.41 and 137,993.43

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Solution

The fourth proportional to 252,711.30, 348,736.41 and 137,993.43 is: 190,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,711.30 : 348,736.41 = 137,993.43 : x
  2. Step 2: Convert to fraction form
    252,711.30/348,736.41 = 137,993.43/x
  3. Step 3: Cross multiply
    252,711.30x = 348,736.41 × 137,993.43
  4. Step 4: Simplify right side
    252,711.30x = 48,123,333,381.79
  5. Step 5: Solve for x
    x = 48,123,333,381.79/252,711.30
  6. Step 6: Final answer
    x = 190,428.10

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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.