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Finding the Fourth Proportional to 131,275.40, 196,475.70 and 120,777.80

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Solution

The fourth proportional to 131,275.40, 196,475.70 and 120,777.80 is: 180,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,275.40 : 196,475.70 = 120,777.80 : x
  2. Step 2: Convert to fraction form
    131,275.40/196,475.70 = 120,777.80/x
  3. Step 3: Cross multiply
    131,275.40x = 196,475.70 × 120,777.80
  4. Step 4: Simplify right side
    131,275.40x = 23,729,902,799.46
  5. Step 5: Solve for x
    x = 23,729,902,799.46/131,275.40
  6. Step 6: Final answer
    x = 180,764.28

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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.