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Finding the Fourth Proportional to 205,401.60, 308,332.80 and 158,860.80

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Solution

The fourth proportional to 205,401.60, 308,332.80 and 158,860.80 is: 238,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,401.60 : 308,332.80 = 158,860.80 : x
  2. Step 2: Convert to fraction form
    205,401.60/308,332.80 = 158,860.80/x
  3. Step 3: Cross multiply
    205,401.60x = 308,332.80 × 158,860.80
  4. Step 4: Simplify right side
    205,401.60x = 48,981,995,274.24
  5. Step 5: Solve for x
    x = 48,981,995,274.24/205,401.60
  6. Step 6: Final answer
    x = 238,469.39

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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.