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Finding the Fourth Proportional to 81,891.66, 122,832.63 and 48,176.64

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Solution

The fourth proportional to 81,891.66, 122,832.63 and 48,176.64 is: 72,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,891.66 : 122,832.63 = 48,176.64 : x
  2. Step 2: Convert to fraction form
    81,891.66/122,832.63 = 48,176.64/x
  3. Step 3: Cross multiply
    81,891.66x = 122,832.63 × 48,176.64
  4. Step 4: Simplify right side
    81,891.66x = 5,917,663,395.76
  5. Step 5: Solve for x
    x = 5,917,663,395.76/81,891.66
  6. Step 6: Final answer
    x = 72,262.10

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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.