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Finding the Fourth Proportional to 252,174.72, 348,016.80 and 138,997.20

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Solution

The fourth proportional to 252,174.72, 348,016.80 and 138,997.20 is: 191,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,174.72 : 348,016.80 = 138,997.20 : x
  2. Step 2: Convert to fraction form
    252,174.72/348,016.80 = 138,997.20/x
  3. Step 3: Cross multiply
    252,174.72x = 348,016.80 × 138,997.20
  4. Step 4: Simplify right side
    252,174.72x = 48,373,360,752.96
  5. Step 5: Solve for x
    x = 48,373,360,752.96/252,174.72
  6. Step 6: Final answer
    x = 191,824.78

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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.