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Finding the Fourth Proportional to 251,820.67, 347,511.90 and 138,643.42

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Solution

The fourth proportional to 251,820.67, 347,511.90 and 138,643.42 is: 191,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,820.67 : 347,511.90 = 138,643.42 : x
  2. Step 2: Convert to fraction form
    251,820.67/347,511.90 = 138,643.42/x
  3. Step 3: Cross multiply
    251,820.67x = 347,511.90 × 138,643.42
  4. Step 4: Simplify right side
    251,820.67x = 48,180,238,306.70
  5. Step 5: Solve for x
    x = 48,180,238,306.70/251,820.67
  6. Step 6: Final answer
    x = 191,327.58

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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.