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Finding the Fourth Proportional to 80,782.70, 121,178.57 and 24,624.64

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Solution

The fourth proportional to 80,782.70, 121,178.57 and 24,624.64 is: 36,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,782.70 : 121,178.57 = 24,624.64 : x
  2. Step 2: Convert to fraction form
    80,782.70/121,178.57 = 24,624.64/x
  3. Step 3: Cross multiply
    80,782.70x = 121,178.57 × 24,624.64
  4. Step 4: Simplify right side
    80,782.70x = 2,983,978,661.96
  5. Step 5: Solve for x
    x = 2,983,978,661.96/80,782.70
  6. Step 6: Final answer
    x = 36,938.34

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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.