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Finding the Fourth Proportional to 192,402.80, 288,276.15 and 158,941.70

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Solution

The fourth proportional to 192,402.80, 288,276.15 and 158,941.70 is: 238,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,402.80 : 288,276.15 = 158,941.70 : x
  2. Step 2: Convert to fraction form
    192,402.80/288,276.15 = 158,941.70/x
  3. Step 3: Cross multiply
    192,402.80x = 288,276.15 × 158,941.70
  4. Step 4: Simplify right side
    192,402.80x = 45,819,101,350.46
  5. Step 5: Solve for x
    x = 45,819,101,350.46/192,402.80
  6. Step 6: Final answer
    x = 238,141.55

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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.