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Finding the Fourth Proportional to 251,909.80, 347,633.22 and 138,730.12

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Solution

The fourth proportional to 251,909.80, 347,633.22 and 138,730.12 is: 191,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,909.80 : 347,633.22 = 138,730.12 : x
  2. Step 2: Convert to fraction form
    251,909.80/347,633.22 = 138,730.12/x
  3. Step 3: Cross multiply
    251,909.80x = 347,633.22 × 138,730.12
  4. Step 4: Simplify right side
    251,909.80x = 48,227,198,326.59
  5. Step 5: Solve for x
    x = 48,227,198,326.59/251,909.80
  6. Step 6: Final answer
    x = 191,446.30

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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.