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Finding the Fourth Proportional to 80,150.40, 110,587.68 and 51,822

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Solution

The fourth proportional to 80,150.40, 110,587.68 and 51,822 is: 71,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,150.40 : 110,587.68 = 51,822 : x
  2. Step 2: Convert to fraction form
    80,150.40/110,587.68 = 51,822/x
  3. Step 3: Cross multiply
    80,150.40x = 110,587.68 × 51,822
  4. Step 4: Simplify right side
    80,150.40x = 5,730,874,752.96
  5. Step 5: Solve for x
    x = 5,730,874,752.96/80,150.40
  6. Step 6: Final answer
    x = 71,501.51

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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.