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Finding the Fourth Proportional to 261,861.96, 361,403.22 and 159,866.04

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Solution

The fourth proportional to 261,861.96, 361,403.22 and 159,866.04 is: 220,635.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,861.96 : 361,403.22 = 159,866.04 : x
  2. Step 2: Convert to fraction form
    261,861.96/361,403.22 = 159,866.04/x
  3. Step 3: Cross multiply
    261,861.96x = 361,403.22 × 159,866.04
  4. Step 4: Simplify right side
    261,861.96x = 57,776,101,624.65
  5. Step 5: Solve for x
    x = 57,776,101,624.65/261,861.96
  6. Step 6: Final answer
    x = 220,635.72

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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.