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Finding the Fourth Proportional to 205,307.60, 308,191.80 and 158,766.80

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Solution

The fourth proportional to 205,307.60, 308,191.80 and 158,766.80 is: 238,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,307.60 : 308,191.80 = 158,766.80 : x
  2. Step 2: Convert to fraction form
    205,307.60/308,191.80 = 158,766.80/x
  3. Step 3: Cross multiply
    205,307.60x = 308,191.80 × 158,766.80
  4. Step 4: Simplify right side
    205,307.60x = 48,930,625,872.24
  5. Step 5: Solve for x
    x = 48,930,625,872.24/205,307.60
  6. Step 6: Final answer
    x = 238,328.37

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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.