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Finding the Fourth Proportional to 215,609.65, 323,463.68 and 65,871.23

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Solution

The fourth proportional to 215,609.65, 323,463.68 and 65,871.23 is: 98,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,609.65 : 323,463.68 = 65,871.23 : x
  2. Step 2: Convert to fraction form
    215,609.65/323,463.68 = 65,871.23/x
  3. Step 3: Cross multiply
    215,609.65x = 323,463.68 × 65,871.23
  4. Step 4: Simplify right side
    215,609.65x = 21,306,948,762.27
  5. Step 5: Solve for x
    x = 21,306,948,762.27/215,609.65
  6. Step 6: Final answer
    x = 98,821.87

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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.