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Finding the Fourth Proportional to 157,609.80, 236,414.70 and 78,736.20

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Solution

The fourth proportional to 157,609.80, 236,414.70 and 78,736.20 is: 118,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,609.80 : 236,414.70 = 78,736.20 : x
  2. Step 2: Convert to fraction form
    157,609.80/236,414.70 = 78,736.20/x
  3. Step 3: Cross multiply
    157,609.80x = 236,414.70 × 78,736.20
  4. Step 4: Simplify right side
    157,609.80x = 18,614,395,102.14
  5. Step 5: Solve for x
    x = 18,614,395,102.14/157,609.80
  6. Step 6: Final answer
    x = 118,104.30

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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.