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Finding the Fourth Proportional to 195,780, 270,153.48 and 115,189.80

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Solution

The fourth proportional to 195,780, 270,153.48 and 115,189.80 is: 158,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,780 : 270,153.48 = 115,189.80 : x
  2. Step 2: Convert to fraction form
    195,780/270,153.48 = 115,189.80/x
  3. Step 3: Cross multiply
    195,780x = 270,153.48 × 115,189.80
  4. Step 4: Simplify right side
    195,780x = 31,118,925,330.50
  5. Step 5: Solve for x
    x = 31,118,925,330.50/195,780
  6. Step 6: Final answer
    x = 158,948.44

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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.