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Finding the Fourth Proportional to 57,179.91, 85,778.16 and 17,740.20

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Solution

The fourth proportional to 57,179.91, 85,778.16 and 17,740.20 is: 26,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,179.91 : 85,778.16 = 17,740.20 : x
  2. Step 2: Convert to fraction form
    57,179.91/85,778.16 = 17,740.20/x
  3. Step 3: Cross multiply
    57,179.91x = 85,778.16 × 17,740.20
  4. Step 4: Simplify right side
    57,179.91x = 1,521,721,714.03
  5. Step 5: Solve for x
    x = 1,521,721,714.03/57,179.91
  6. Step 6: Final answer
    x = 26,612.87

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1.5x scale

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.