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Finding the Fourth Proportional to 205,033.60, 307,780.80 and 158,492.80

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Solution

The fourth proportional to 205,033.60, 307,780.80 and 158,492.80 is: 237,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,033.60 : 307,780.80 = 158,492.80 : x
  2. Step 2: Convert to fraction form
    205,033.60/307,780.80 = 158,492.80/x
  3. Step 3: Cross multiply
    205,033.60x = 307,780.80 × 158,492.80
  4. Step 4: Simplify right side
    205,033.60x = 48,781,040,778.24
  5. Step 5: Solve for x
    x = 48,781,040,778.24/205,033.60
  6. Step 6: Final answer
    x = 237,917.30

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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.