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Finding the Fourth Proportional to 140,924.80, 194,471.04 and 77,261.20

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Solution

The fourth proportional to 140,924.80, 194,471.04 and 77,261.20 is: 106,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,924.80 : 194,471.04 = 77,261.20 : x
  2. Step 2: Convert to fraction form
    140,924.80/194,471.04 = 77,261.20/x
  3. Step 3: Cross multiply
    140,924.80x = 194,471.04 × 77,261.20
  4. Step 4: Simplify right side
    140,924.80x = 15,025,065,915.65
  5. Step 5: Solve for x
    x = 15,025,065,915.65/140,924.80
  6. Step 6: Final answer
    x = 106,617.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.