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Finding the Fourth Proportional to 242,751.05, 363,873.92 and 135,978.47

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Solution

The fourth proportional to 242,751.05, 363,873.92 and 135,978.47 is: 203,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,751.05 : 363,873.92 = 135,978.47 : x
  2. Step 2: Convert to fraction form
    242,751.05/363,873.92 = 135,978.47/x
  3. Step 3: Cross multiply
    242,751.05x = 363,873.92 × 135,978.47
  4. Step 4: Simplify right side
    242,751.05x = 49,479,016,415.24
  5. Step 5: Solve for x
    x = 49,479,016,415.24/242,751.05
  6. Step 6: Final answer
    x = 203,826.17

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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.