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Finding the Fourth Proportional to 65,251.60, 97,883.86 and 20,867.20

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Solution

The fourth proportional to 65,251.60, 97,883.86 and 20,867.20 is: 31,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.60 : 97,883.86 = 20,867.20 : x
  2. Step 2: Convert to fraction form
    65,251.60/97,883.86 = 20,867.20/x
  3. Step 3: Cross multiply
    65,251.60x = 97,883.86 × 20,867.20
  4. Step 4: Simplify right side
    65,251.60x = 2,042,562,083.39
  5. Step 5: Solve for x
    x = 2,042,562,083.39/65,251.60
  6. Step 6: Final answer
    x = 31,302.87

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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.