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Finding the Fourth Proportional to 65,206.48, 97,761.72 and 20,807.68

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Solution

The fourth proportional to 65,206.48, 97,761.72 and 20,807.68 is: 31,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.48 : 97,761.72 = 20,807.68 : x
  2. Step 2: Convert to fraction form
    65,206.48/97,761.72 = 20,807.68/x
  3. Step 3: Cross multiply
    65,206.48x = 97,761.72 × 20,807.68
  4. Step 4: Simplify right side
    65,206.48x = 2,034,194,586.01
  5. Step 5: Solve for x
    x = 2,034,194,586.01/65,206.48
  6. Step 6: Final answer
    x = 31,196.20

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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.