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Finding the Fourth Proportional to 261,898.98, 361,425.69 and 148,722.18

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Solution

The fourth proportional to 261,898.98, 361,425.69 and 148,722.18 is: 205,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,898.98 : 361,425.69 = 148,722.18 : x
  2. Step 2: Convert to fraction form
    261,898.98/361,425.69 = 148,722.18/x
  3. Step 3: Cross multiply
    261,898.98x = 361,425.69 × 148,722.18
  4. Step 4: Simplify right side
    261,898.98x = 53,752,016,524.80
  5. Step 5: Solve for x
    x = 53,752,016,524.80/261,898.98
  6. Step 6: Final answer
    x = 205,239.50

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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.