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Finding the Fourth Proportional to 65,294.74, 97,939.36 and 20,920.51

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Solution

The fourth proportional to 65,294.74, 97,939.36 and 20,920.51 is: 31,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.74 : 97,939.36 = 20,920.51 : x
  2. Step 2: Convert to fraction form
    65,294.74/97,939.36 = 20,920.51/x
  3. Step 3: Cross multiply
    65,294.74x = 97,939.36 × 20,920.51
  4. Step 4: Simplify right side
    65,294.74x = 2,048,940,765.97
  5. Step 5: Solve for x
    x = 2,048,940,765.97/65,294.74
  6. Step 6: Final answer
    x = 31,379.88

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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.