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Finding the Fourth Proportional to 140,540.80, 194,107.52 and 102,470.40

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Solution

The fourth proportional to 140,540.80, 194,107.52 and 102,470.40 is: 141,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,540.80 : 194,107.52 = 102,470.40 : x
  2. Step 2: Convert to fraction form
    140,540.80/194,107.52 = 102,470.40/x
  3. Step 3: Cross multiply
    140,540.80x = 194,107.52 × 102,470.40
  4. Step 4: Simplify right side
    140,540.80x = 19,890,275,217.41
  5. Step 5: Solve for x
    x = 19,890,275,217.41/140,540.80
  6. Step 6: Final answer
    x = 141,526.70

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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.