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Finding the Fourth Proportional to 242,873.57, 363,990.51 and 136,255.50

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Solution

The fourth proportional to 242,873.57, 363,990.51 and 136,255.50 is: 204,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,873.57 : 363,990.51 = 136,255.50 : x
  2. Step 2: Convert to fraction form
    242,873.57/363,990.51 = 136,255.50/x
  3. Step 3: Cross multiply
    242,873.57x = 363,990.51 × 136,255.50
  4. Step 4: Simplify right side
    242,873.57x = 49,595,708,935.31
  5. Step 5: Solve for x
    x = 49,595,708,935.31/242,873.57
  6. Step 6: Final answer
    x = 204,203.81

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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.