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Finding the Fourth Proportional to 177,309.80, 265,964.70 and 72,204.20

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Solution

The fourth proportional to 177,309.80, 265,964.70 and 72,204.20 is: 108,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,309.80 : 265,964.70 = 72,204.20 : x
  2. Step 2: Convert to fraction form
    177,309.80/265,964.70 = 72,204.20/x
  3. Step 3: Cross multiply
    177,309.80x = 265,964.70 × 72,204.20
  4. Step 4: Simplify right side
    177,309.80x = 19,203,768,391.74
  5. Step 5: Solve for x
    x = 19,203,768,391.74/177,309.80
  6. Step 6: Final answer
    x = 108,306.30

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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.