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Finding the Fourth Proportional to 80,378.50, 120,642.18 and 40,964.98

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Solution

The fourth proportional to 80,378.50, 120,642.18 and 40,964.98 is: 61,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,378.50 : 120,642.18 = 40,964.98 : x
  2. Step 2: Convert to fraction form
    80,378.50/120,642.18 = 40,964.98/x
  3. Step 3: Cross multiply
    80,378.50x = 120,642.18 × 40,964.98
  4. Step 4: Simplify right side
    80,378.50x = 4,942,104,490.86
  5. Step 5: Solve for x
    x = 4,942,104,490.86/80,378.50
  6. Step 6: Final answer
    x = 61,485.40

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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.