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Finding the Fourth Proportional to 131,694.30, 181,740.69 and 77,959.71

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Solution

The fourth proportional to 131,694.30, 181,740.69 and 77,959.71 is: 107,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,694.30 : 181,740.69 = 77,959.71 : x
  2. Step 2: Convert to fraction form
    131,694.30/181,740.69 = 77,959.71/x
  3. Step 3: Cross multiply
    131,694.30x = 181,740.69 × 77,959.71
  4. Step 4: Simplify right side
    131,694.30x = 14,168,451,487.60
  5. Step 5: Solve for x
    x = 14,168,451,487.60/131,694.30
  6. Step 6: Final answer
    x = 107,585.91

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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.