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Finding the Fourth Proportional to 117,412, 176,143.92 and 43,540

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Solution

The fourth proportional to 117,412, 176,143.92 and 43,540 is: 65,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,412 : 176,143.92 = 43,540 : x
  2. Step 2: Convert to fraction form
    117,412/176,143.92 = 43,540/x
  3. Step 3: Cross multiply
    117,412x = 176,143.92 × 43,540
  4. Step 4: Simplify right side
    117,412x = 7,669,306,276.80
  5. Step 5: Solve for x
    x = 7,669,306,276.80/117,412
  6. Step 6: Final answer
    x = 65,319.61

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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.