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Finding the Fourth Proportional to 261,780.39, 361,235.70 and 147,052.80

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Solution

The fourth proportional to 261,780.39, 361,235.70 and 147,052.80 is: 202,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,780.39 : 361,235.70 = 147,052.80 : x
  2. Step 2: Convert to fraction form
    261,780.39/361,235.70 = 147,052.80/x
  3. Step 3: Cross multiply
    261,780.39x = 361,235.70 × 147,052.80
  4. Step 4: Simplify right side
    261,780.39x = 53,120,721,144.96
  5. Step 5: Solve for x
    x = 53,120,721,144.96/261,780.39
  6. Step 6: Final answer
    x = 202,920.93

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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.