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Finding the Fourth Proportional to 65,078.73, 97,616.27 and 20,708.15

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Solution

The fourth proportional to 65,078.73, 97,616.27 and 20,708.15 is: 31,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078.73 : 97,616.27 = 20,708.15 : x
  2. Step 2: Convert to fraction form
    65,078.73/97,616.27 = 20,708.15/x
  3. Step 3: Cross multiply
    65,078.73x = 97,616.27 × 20,708.15
  4. Step 4: Simplify right side
    65,078.73x = 2,021,451,769.98
  5. Step 5: Solve for x
    x = 2,021,451,769.98/65,078.73
  6. Step 6: Final answer
    x = 31,061.64

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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.