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Finding the Fourth Proportional to 195,902.72, 270,344.40 and 106,478.72

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Solution

The fourth proportional to 195,902.72, 270,344.40 and 106,478.72 is: 146,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,902.72 : 270,344.40 = 106,478.72 : x
  2. Step 2: Convert to fraction form
    195,902.72/270,344.40 = 106,478.72/x
  3. Step 3: Cross multiply
    195,902.72x = 270,344.40 × 106,478.72
  4. Step 4: Simplify right side
    195,902.72x = 28,785,925,671.17
  5. Step 5: Solve for x
    x = 28,785,925,671.17/195,902.72
  6. Step 6: Final answer
    x = 146,939.90

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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.