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Finding the Fourth Proportional to 261,790.74, 361,249.92 and 147,063.15

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Solution

The fourth proportional to 261,790.74, 361,249.92 and 147,063.15 is: 202,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,790.74 : 361,249.92 = 147,063.15 : x
  2. Step 2: Convert to fraction form
    261,790.74/361,249.92 = 147,063.15/x
  3. Step 3: Cross multiply
    261,790.74x = 361,249.92 × 147,063.15
  4. Step 4: Simplify right side
    261,790.74x = 53,126,551,172.45
  5. Step 5: Solve for x
    x = 53,126,551,172.45/261,790.74
  6. Step 6: Final answer
    x = 202,935.18

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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.