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Finding the Fourth Proportional to 207,783.60, 311,691.60 and 89,458.80

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Solution

The fourth proportional to 207,783.60, 311,691.60 and 89,458.80 is: 134,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,783.60 : 311,691.60 = 89,458.80 : x
  2. Step 2: Convert to fraction form
    207,783.60/311,691.60 = 89,458.80/x
  3. Step 3: Cross multiply
    207,783.60x = 311,691.60 × 89,458.80
  4. Step 4: Simplify right side
    207,783.60x = 27,883,556,506.08
  5. Step 5: Solve for x
    x = 27,883,556,506.08/207,783.60
  6. Step 6: Final answer
    x = 134,195.17

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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.