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Finding the Fourth Proportional to 119,714.91, 179,451.17 and 77,621.64

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Solution

The fourth proportional to 119,714.91, 179,451.17 and 77,621.64 is: 116,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,714.91 : 179,451.17 = 77,621.64 : x
  2. Step 2: Convert to fraction form
    119,714.91/179,451.17 = 77,621.64/x
  3. Step 3: Cross multiply
    119,714.91x = 179,451.17 × 77,621.64
  4. Step 4: Simplify right side
    119,714.91x = 13,929,293,727.21
  5. Step 5: Solve for x
    x = 13,929,293,727.21/119,714.91
  6. Step 6: Final answer
    x = 116,353.88

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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.