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Finding the Fourth Proportional to 65,262.72, 97,846.20 and 20,863.92

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Solution

The fourth proportional to 65,262.72, 97,846.20 and 20,863.92 is: 31,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262.72 : 97,846.20 = 20,863.92 : x
  2. Step 2: Convert to fraction form
    65,262.72/97,846.20 = 20,863.92/x
  3. Step 3: Cross multiply
    65,262.72x = 97,846.20 × 20,863.92
  4. Step 4: Simplify right side
    65,262.72x = 2,041,455,289.10
  5. Step 5: Solve for x
    x = 2,041,455,289.10/65,262.72
  6. Step 6: Final answer
    x = 31,280.57

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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.