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Finding the Fourth Proportional to 239,738.40, 359,996.40 and 161,200.80

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Solution

The fourth proportional to 239,738.40, 359,996.40 and 161,200.80 is: 242,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,738.40 : 359,996.40 = 161,200.80 : x
  2. Step 2: Convert to fraction form
    239,738.40/359,996.40 = 161,200.80/x
  3. Step 3: Cross multiply
    239,738.40x = 359,996.40 × 161,200.80
  4. Step 4: Simplify right side
    239,738.40x = 58,031,707,677.12
  5. Step 5: Solve for x
    x = 58,031,707,677.12/239,738.40
  6. Step 6: Final answer
    x = 242,062.63

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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.