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Finding the Fourth Proportional to 251,159.52, 376,432.80 and 138,835.20

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Solution

The fourth proportional to 251,159.52, 376,432.80 and 138,835.20 is: 208,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,159.52 : 376,432.80 = 138,835.20 : x
  2. Step 2: Convert to fraction form
    251,159.52/376,432.80 = 138,835.20/x
  3. Step 3: Cross multiply
    251,159.52x = 376,432.80 × 138,835.20
  4. Step 4: Simplify right side
    251,159.52x = 52,262,123,074.56
  5. Step 5: Solve for x
    x = 52,262,123,074.56/251,159.52
  6. Step 6: Final answer
    x = 208,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.