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Finding the Fourth Proportional to 261,885.82, 361,375.50 and 147,146.23

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Solution

The fourth proportional to 261,885.82, 361,375.50 and 147,146.23 is: 203,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,885.82 : 361,375.50 = 147,146.23 : x
  2. Step 2: Convert to fraction form
    261,885.82/361,375.50 = 147,146.23/x
  3. Step 3: Cross multiply
    261,885.82x = 361,375.50 × 147,146.23
  4. Step 4: Simplify right side
    261,885.82x = 53,175,041,535.93
  5. Step 5: Solve for x
    x = 53,175,041,535.93/261,885.82
  6. Step 6: Final answer
    x = 203,046.66

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1.5x scale

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.