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Finding the Fourth Proportional to 261,868.50, 361,351.69 and 147,128.90

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Solution

The fourth proportional to 261,868.50, 361,351.69 and 147,128.90 is: 203,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,868.50 : 361,351.69 = 147,128.90 : x
  2. Step 2: Convert to fraction form
    261,868.50/361,351.69 = 147,128.90/x
  3. Step 3: Cross multiply
    261,868.50x = 361,351.69 × 147,128.90
  4. Step 4: Simplify right side
    261,868.50x = 53,165,274,488.26
  5. Step 5: Solve for x
    x = 53,165,274,488.26/261,868.50
  6. Step 6: Final answer
    x = 203,022.79

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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.