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Finding the Fourth Proportional to 252,129.28, 347,938.50 and 137,407.96

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Solution

The fourth proportional to 252,129.28, 347,938.50 and 137,407.96 is: 189,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,129.28 : 347,938.50 = 137,407.96 : x
  2. Step 2: Convert to fraction form
    252,129.28/347,938.50 = 137,407.96/x
  3. Step 3: Cross multiply
    252,129.28x = 347,938.50 × 137,407.96
  4. Step 4: Simplify right side
    252,129.28x = 47,809,519,490.46
  5. Step 5: Solve for x
    x = 47,809,519,490.46/252,129.28
  6. Step 6: Final answer
    x = 189,623.04

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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.