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Finding the Fourth Proportional to 137,478.48, 206,173.80 and 43,962

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Solution

The fourth proportional to 137,478.48, 206,173.80 and 43,962 is: 65,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478.48 : 206,173.80 = 43,962 : x
  2. Step 2: Convert to fraction form
    137,478.48/206,173.80 = 43,962/x
  3. Step 3: Cross multiply
    137,478.48x = 206,173.80 × 43,962
  4. Step 4: Simplify right side
    137,478.48x = 9,063,812,595.60
  5. Step 5: Solve for x
    x = 9,063,812,595.60/137,478.48
  6. Step 6: Final answer
    x = 65,928.96

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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.