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Finding the Fourth Proportional to 47,757.94, 71,641.46 and 19,679.90

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Solution

The fourth proportional to 47,757.94, 71,641.46 and 19,679.90 is: 29,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,757.94 : 71,641.46 = 19,679.90 : x
  2. Step 2: Convert to fraction form
    47,757.94/71,641.46 = 19,679.90/x
  3. Step 3: Cross multiply
    47,757.94x = 71,641.46 × 19,679.90
  4. Step 4: Simplify right side
    47,757.94x = 1,409,896,459.65
  5. Step 5: Solve for x
    x = 1,409,896,459.65/47,757.94
  6. Step 6: Final answer
    x = 29,521.72

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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.