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Finding the Fourth Proportional to 123,867, 185,809.77 and 35,127.65

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Solution

The fourth proportional to 123,867, 185,809.77 and 35,127.65 is: 52,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,867 : 185,809.77 = 35,127.65 : x
  2. Step 2: Convert to fraction form
    123,867/185,809.77 = 35,127.65/x
  3. Step 3: Cross multiply
    123,867x = 185,809.77 × 35,127.65
  4. Step 4: Simplify right side
    123,867x = 6,527,061,031.66
  5. Step 5: Solve for x
    x = 6,527,061,031.66/123,867
  6. Step 6: Final answer
    x = 52,694.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.