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Finding the Fourth Proportional to 50,780.70, 76,041.45 and 40,412.70

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Solution

The fourth proportional to 50,780.70, 76,041.45 and 40,412.70 is: 60,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,780.70 : 76,041.45 = 40,412.70 : x
  2. Step 2: Convert to fraction form
    50,780.70/76,041.45 = 40,412.70/x
  3. Step 3: Cross multiply
    50,780.70x = 76,041.45 × 40,412.70
  4. Step 4: Simplify right side
    50,780.70x = 3,073,040,306.42
  5. Step 5: Solve for x
    x = 3,073,040,306.42/50,780.70
  6. Step 6: Final answer
    x = 60,515.91

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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.