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Finding the Fourth Proportional to 72,430.20, 108,645.30 and 65,431.80

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Solution

The fourth proportional to 72,430.20, 108,645.30 and 65,431.80 is: 98,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,430.20 : 108,645.30 = 65,431.80 : x
  2. Step 2: Convert to fraction form
    72,430.20/108,645.30 = 65,431.80/x
  3. Step 3: Cross multiply
    72,430.20x = 108,645.30 × 65,431.80
  4. Step 4: Simplify right side
    72,430.20x = 7,108,857,540.54
  5. Step 5: Solve for x
    x = 7,108,857,540.54/72,430.20
  6. Step 6: Final answer
    x = 98,147.70

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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.