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Finding the Fourth Proportional to 102,590.20, 153,885.30 and 80,471.80

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Solution

The fourth proportional to 102,590.20, 153,885.30 and 80,471.80 is: 120,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,590.20 : 153,885.30 = 80,471.80 : x
  2. Step 2: Convert to fraction form
    102,590.20/153,885.30 = 80,471.80/x
  3. Step 3: Cross multiply
    102,590.20x = 153,885.30 × 80,471.80
  4. Step 4: Simplify right side
    102,590.20x = 12,383,427,084.54
  5. Step 5: Solve for x
    x = 12,383,427,084.54/102,590.20
  6. Step 6: Final answer
    x = 120,707.70

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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.