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Finding the Fourth Proportional to 57,871.26, 86,647.12 and 29,730.65

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Solution

The fourth proportional to 57,871.26, 86,647.12 and 29,730.65 is: 44,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,871.26 : 86,647.12 = 29,730.65 : x
  2. Step 2: Convert to fraction form
    57,871.26/86,647.12 = 29,730.65/x
  3. Step 3: Cross multiply
    57,871.26x = 86,647.12 × 29,730.65
  4. Step 4: Simplify right side
    57,871.26x = 2,576,074,690.67
  5. Step 5: Solve for x
    x = 2,576,074,690.67/57,871.26
  6. Step 6: Final answer
    x = 44,513.89

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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.