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Finding the Fourth Proportional to 231,714.77, 319,757.52 and 129,730.69

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Solution

The fourth proportional to 231,714.77, 319,757.52 and 129,730.69 is: 179,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,714.77 : 319,757.52 = 129,730.69 : x
  2. Step 2: Convert to fraction form
    231,714.77/319,757.52 = 129,730.69/x
  3. Step 3: Cross multiply
    231,714.77x = 319,757.52 × 129,730.69
  4. Step 4: Simplify right side
    231,714.77x = 41,482,362,902.90
  5. Step 5: Solve for x
    x = 41,482,362,902.90/231,714.77
  6. Step 6: Final answer
    x = 179,023.39

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1.5x scale

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.