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Finding the Fourth Proportional to 242,949.66, 364,426.92 and 85,181.91

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Solution

The fourth proportional to 242,949.66, 364,426.92 and 85,181.91 is: 127,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,949.66 : 364,426.92 = 85,181.91 : x
  2. Step 2: Convert to fraction form
    242,949.66/364,426.92 = 85,181.91/x
  3. Step 3: Cross multiply
    242,949.66x = 364,426.92 × 85,181.91
  4. Step 4: Simplify right side
    242,949.66x = 31,042,581,101.02
  5. Step 5: Solve for x
    x = 31,042,581,101.02/242,949.66
  6. Step 6: Final answer
    x = 127,773.72

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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.