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Finding the Fourth Proportional to 177,411.20, 266,189.70 and 65,145.20

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Solution

The fourth proportional to 177,411.20, 266,189.70 and 65,145.20 is: 97,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,411.20 : 266,189.70 = 65,145.20 : x
  2. Step 2: Convert to fraction form
    177,411.20/266,189.70 = 65,145.20/x
  3. Step 3: Cross multiply
    177,411.20x = 266,189.70 × 65,145.20
  4. Step 4: Simplify right side
    177,411.20x = 17,340,981,244.44
  5. Step 5: Solve for x
    x = 17,340,981,244.44/177,411.20
  6. Step 6: Final answer
    x = 97,744.57

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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.