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Finding the Fourth Proportional to 87,535.65, 120,794.28 and 51,729

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Solution

The fourth proportional to 87,535.65, 120,794.28 and 51,729 is: 71,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,535.65 : 120,794.28 = 51,729 : x
  2. Step 2: Convert to fraction form
    87,535.65/120,794.28 = 51,729/x
  3. Step 3: Cross multiply
    87,535.65x = 120,794.28 × 51,729
  4. Step 4: Simplify right side
    87,535.65x = 6,248,567,310.12
  5. Step 5: Solve for x
    x = 6,248,567,310.12/87,535.65
  6. Step 6: Final answer
    x = 71,383.11

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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.