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Finding the Fourth Proportional to 43,765.92, 65,535.48 and 31,870.80

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Solution

The fourth proportional to 43,765.92, 65,535.48 and 31,870.80 is: 47,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,765.92 : 65,535.48 = 31,870.80 : x
  2. Step 2: Convert to fraction form
    43,765.92/65,535.48 = 31,870.80/x
  3. Step 3: Cross multiply
    43,765.92x = 65,535.48 × 31,870.80
  4. Step 4: Simplify right side
    43,765.92x = 2,088,668,175.98
  5. Step 5: Solve for x
    x = 2,088,668,175.98/43,765.92
  6. Step 6: Final answer
    x = 47,723.62

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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.