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Finding the Fourth Proportional to 197,385.20, 296,077.80 and 86,577.20

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Solution

The fourth proportional to 197,385.20, 296,077.80 and 86,577.20 is: 129,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,385.20 : 296,077.80 = 86,577.20 : x
  2. Step 2: Convert to fraction form
    197,385.20/296,077.80 = 86,577.20/x
  3. Step 3: Cross multiply
    197,385.20x = 296,077.80 × 86,577.20
  4. Step 4: Simplify right side
    197,385.20x = 25,633,586,906.16
  5. Step 5: Solve for x
    x = 25,633,586,906.16/197,385.20
  6. Step 6: Final answer
    x = 129,865.80

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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.