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Finding the Fourth Proportional to 195,782, 270,156.24 and 115,191.80

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Solution

The fourth proportional to 195,782, 270,156.24 and 115,191.80 is: 158,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,782 : 270,156.24 = 115,191.80 : x
  2. Step 2: Convert to fraction form
    195,782/270,156.24 = 115,191.80/x
  3. Step 3: Cross multiply
    195,782x = 270,156.24 × 115,191.80
  4. Step 4: Simplify right side
    195,782x = 31,119,783,566.83
  5. Step 5: Solve for x
    x = 31,119,783,566.83/195,782
  6. Step 6: Final answer
    x = 158,951.20

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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.