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Finding the Fourth Proportional to 243,308.14, 364,997.11 and 74,842.68

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Solution

The fourth proportional to 243,308.14, 364,997.11 and 74,842.68 is: 112,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,308.14 : 364,997.11 = 74,842.68 : x
  2. Step 2: Convert to fraction form
    243,308.14/364,997.11 = 74,842.68/x
  3. Step 3: Cross multiply
    243,308.14x = 364,997.11 × 74,842.68
  4. Step 4: Simplify right side
    243,308.14x = 27,317,361,904.65
  5. Step 5: Solve for x
    x = 27,317,361,904.65/243,308.14
  6. Step 6: Final answer
    x = 112,274.76

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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.