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Finding the Fourth Proportional to 71,947.80, 107,921.70 and 47,064.60

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Solution

The fourth proportional to 71,947.80, 107,921.70 and 47,064.60 is: 70,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,947.80 : 107,921.70 = 47,064.60 : x
  2. Step 2: Convert to fraction form
    71,947.80/107,921.70 = 47,064.60/x
  3. Step 3: Cross multiply
    71,947.80x = 107,921.70 × 47,064.60
  4. Step 4: Simplify right side
    71,947.80x = 5,079,291,641.82
  5. Step 5: Solve for x
    x = 5,079,291,641.82/71,947.80
  6. Step 6: Final answer
    x = 70,596.90

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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.