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Finding the Fourth Proportional to 55,246.80, 82,870.20 and 40,213.20

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Solution

The fourth proportional to 55,246.80, 82,870.20 and 40,213.20 is: 60,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,246.80 : 82,870.20 = 40,213.20 : x
  2. Step 2: Convert to fraction form
    55,246.80/82,870.20 = 40,213.20/x
  3. Step 3: Cross multiply
    55,246.80x = 82,870.20 × 40,213.20
  4. Step 4: Simplify right side
    55,246.80x = 3,332,475,926.64
  5. Step 5: Solve for x
    x = 3,332,475,926.64/55,246.80
  6. Step 6: Final answer
    x = 60,319.80

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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.