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Finding the Fourth Proportional to 251,947.49, 347,687.52 and 138,770.24

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Solution

The fourth proportional to 251,947.49, 347,687.52 and 138,770.24 is: 191,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,947.49 : 347,687.52 = 138,770.24 : x
  2. Step 2: Convert to fraction form
    251,947.49/347,687.52 = 138,770.24/x
  3. Step 3: Cross multiply
    251,947.49x = 347,687.52 × 138,770.24
  4. Step 4: Simplify right side
    251,947.49x = 48,248,678,336.58
  5. Step 5: Solve for x
    x = 48,248,678,336.58/251,947.49
  6. Step 6: Final answer
    x = 191,502.92

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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.