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Finding the Fourth Proportional to 65,270.80, 97,906.20 and 52,148.80

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Solution

The fourth proportional to 65,270.80, 97,906.20 and 52,148.80 is: 78,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,270.80 : 97,906.20 = 52,148.80 : x
  2. Step 2: Convert to fraction form
    65,270.80/97,906.20 = 52,148.80/x
  3. Step 3: Cross multiply
    65,270.80x = 97,906.20 × 52,148.80
  4. Step 4: Simplify right side
    65,270.80x = 5,105,690,842.56
  5. Step 5: Solve for x
    x = 5,105,690,842.56/65,270.80
  6. Step 6: Final answer
    x = 78,223.20

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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.