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Finding the Fourth Proportional to 261,658.28, 361,144.71 and 159,661.90

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Solution

The fourth proportional to 261,658.28, 361,144.71 and 159,661.90 is: 220,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,658.28 : 361,144.71 = 159,661.90 : x
  2. Step 2: Convert to fraction form
    261,658.28/361,144.71 = 159,661.90/x
  3. Step 3: Cross multiply
    261,658.28x = 361,144.71 × 159,661.90
  4. Step 4: Simplify right side
    261,658.28x = 57,661,051,024.98
  5. Step 5: Solve for x
    x = 57,661,051,024.98/261,658.28
  6. Step 6: Final answer
    x = 220,367.77

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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.