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Finding the Fourth Proportional to 140,561.92, 193,976.13 and 76,900.78

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Solution

The fourth proportional to 140,561.92, 193,976.13 and 76,900.78 is: 106,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,561.92 : 193,976.13 = 76,900.78 : x
  2. Step 2: Convert to fraction form
    140,561.92/193,976.13 = 76,900.78/x
  3. Step 3: Cross multiply
    140,561.92x = 193,976.13 × 76,900.78
  4. Step 4: Simplify right side
    140,561.92x = 14,916,915,698.38
  5. Step 5: Solve for x
    x = 14,916,915,698.38/140,561.92
  6. Step 6: Final answer
    x = 106,123.45

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1.5x scale

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.