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Finding the Fourth Proportional to 47,774.88, 71,766 and 40,394.16

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Solution

The fourth proportional to 47,774.88, 71,766 and 40,394.16 is: 60,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,774.88 : 71,766 = 40,394.16 : x
  2. Step 2: Convert to fraction form
    47,774.88/71,766 = 40,394.16/x
  3. Step 3: Cross multiply
    47,774.88x = 71,766 × 40,394.16
  4. Step 4: Simplify right side
    47,774.88x = 2,898,927,286.56
  5. Step 5: Solve for x
    x = 2,898,927,286.56/47,774.88
  6. Step 6: Final answer
    x = 60,678.90

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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.