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Finding the Fourth Proportional to 177,729.84, 266,594.72 and 71,161.76

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Solution

The fourth proportional to 177,729.84, 266,594.72 and 71,161.76 is: 106,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,729.84 : 266,594.72 = 71,161.76 : x
  2. Step 2: Convert to fraction form
    177,729.84/266,594.72 = 71,161.76/x
  3. Step 3: Cross multiply
    177,729.84x = 266,594.72 × 71,161.76
  4. Step 4: Simplify right side
    177,729.84x = 18,971,349,481.91
  5. Step 5: Solve for x
    x = 18,971,349,481.91/177,729.84
  6. Step 6: Final answer
    x = 106,742.62

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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.