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Finding the Fourth Proportional to 252,098.70, 347,879.76 and 138,921.42

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Solution

The fourth proportional to 252,098.70, 347,879.76 and 138,921.42 is: 191,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,098.70 : 347,879.76 = 138,921.42 : x
  2. Step 2: Convert to fraction form
    252,098.70/347,879.76 = 138,921.42/x
  3. Step 3: Cross multiply
    252,098.70x = 347,879.76 × 138,921.42
  4. Step 4: Simplify right side
    252,098.70x = 48,327,950,248.46
  5. Step 5: Solve for x
    x = 48,327,950,248.46/252,098.70
  6. Step 6: Final answer
    x = 191,702.50

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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.