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Finding the Fourth Proportional to 204,321.60, 306,712.80 and 157,780.80

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Solution

The fourth proportional to 204,321.60, 306,712.80 and 157,780.80 is: 236,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,321.60 : 306,712.80 = 157,780.80 : x
  2. Step 2: Convert to fraction form
    204,321.60/306,712.80 = 157,780.80/x
  3. Step 3: Cross multiply
    204,321.60x = 306,712.80 × 157,780.80
  4. Step 4: Simplify right side
    204,321.60x = 48,393,390,954.24
  5. Step 5: Solve for x
    x = 48,393,390,954.24/204,321.60
  6. Step 6: Final answer
    x = 236,849.12

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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.