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Finding the Fourth Proportional to 131,785.80, 181,864.11 and 71,356.51

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Solution

The fourth proportional to 131,785.80, 181,864.11 and 71,356.51 is: 98,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,785.80 : 181,864.11 = 71,356.51 : x
  2. Step 2: Convert to fraction form
    131,785.80/181,864.11 = 71,356.51/x
  3. Step 3: Cross multiply
    131,785.80x = 181,864.11 × 71,356.51
  4. Step 4: Simplify right side
    131,785.80x = 12,977,188,183.86
  5. Step 5: Solve for x
    x = 12,977,188,183.86/131,785.80
  6. Step 6: Final answer
    x = 98,471.82

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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.