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Finding the Fourth Proportional to 74,523.69, 102,842.73 and 40,989.69

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Solution

The fourth proportional to 74,523.69, 102,842.73 and 40,989.69 is: 56,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,523.69 : 102,842.73 = 40,989.69 : x
  2. Step 2: Convert to fraction form
    74,523.69/102,842.73 = 40,989.69/x
  3. Step 3: Cross multiply
    74,523.69x = 102,842.73 × 40,989.69
  4. Step 4: Simplify right side
    74,523.69x = 4,215,491,621.45
  5. Step 5: Solve for x
    x = 4,215,491,621.45/74,523.69
  6. Step 6: Final answer
    x = 56,565.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.