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Finding the Fourth Proportional to 64,649.72, 96,974.54 and 20,279.90

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Solution

The fourth proportional to 64,649.72, 96,974.54 and 20,279.90 is: 30,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649.72 : 96,974.54 = 20,279.90 : x
  2. Step 2: Convert to fraction form
    64,649.72/96,974.54 = 20,279.90/x
  3. Step 3: Cross multiply
    64,649.72x = 96,974.54 × 20,279.90
  4. Step 4: Simplify right side
    64,649.72x = 1,966,633,872.35
  5. Step 5: Solve for x
    x = 1,966,633,872.35/64,649.72
  6. Step 6: Final answer
    x = 30,419.84

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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.