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Finding the Fourth Proportional to 149,316.80, 206,057.20 and 82,248.80

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Solution

The fourth proportional to 149,316.80, 206,057.20 and 82,248.80 is: 113,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,316.80 : 206,057.20 = 82,248.80 : x
  2. Step 2: Convert to fraction form
    149,316.80/206,057.20 = 82,248.80/x
  3. Step 3: Cross multiply
    149,316.80x = 206,057.20 × 82,248.80
  4. Step 4: Simplify right side
    149,316.80x = 16,947,957,431.36
  5. Step 5: Solve for x
    x = 16,947,957,431.36/149,316.80
  6. Step 6: Final answer
    x = 113,503.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.