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Finding the Fourth Proportional to 181,891.68, 272,875.32 and 76,711.56

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Solution

The fourth proportional to 181,891.68, 272,875.32 and 76,711.56 is: 115,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,891.68 : 272,875.32 = 76,711.56 : x
  2. Step 2: Convert to fraction form
    181,891.68/272,875.32 = 76,711.56/x
  3. Step 3: Cross multiply
    181,891.68x = 272,875.32 × 76,711.56
  4. Step 4: Simplify right side
    181,891.68x = 20,932,691,482.70
  5. Step 5: Solve for x
    x = 20,932,691,482.70/181,891.68
  6. Step 6: Final answer
    x = 115,083.28

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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.