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Finding the Fourth Proportional to 242,651.75, 363,978.56 and 74,171.45

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Solution

The fourth proportional to 242,651.75, 363,978.56 and 74,171.45 is: 111,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,651.75 : 363,978.56 = 74,171.45 : x
  2. Step 2: Convert to fraction form
    242,651.75/363,978.56 = 74,171.45/x
  3. Step 3: Cross multiply
    242,651.75x = 363,978.56 × 74,171.45
  4. Step 4: Simplify right side
    242,651.75x = 26,996,816,612.11
  5. Step 5: Solve for x
    x = 26,996,816,612.11/242,651.75
  6. Step 6: Final answer
    x = 111,257.46

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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.