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Finding the Fourth Proportional to 177,380.80, 266,071.20 and 130,724.80

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Solution

The fourth proportional to 177,380.80, 266,071.20 and 130,724.80 is: 196,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,380.80 : 266,071.20 = 130,724.80 : x
  2. Step 2: Convert to fraction form
    177,380.80/266,071.20 = 130,724.80/x
  3. Step 3: Cross multiply
    177,380.80x = 266,071.20 × 130,724.80
  4. Step 4: Simplify right side
    177,380.80x = 34,782,104,405.76
  5. Step 5: Solve for x
    x = 34,782,104,405.76/177,380.80
  6. Step 6: Final answer
    x = 196,087.20

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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.