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Finding the Fourth Proportional to 64,644.48, 96,966.74 and 20,274.70

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Solution

The fourth proportional to 64,644.48, 96,966.74 and 20,274.70 is: 30,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,644.48 : 96,966.74 = 20,274.70 : x
  2. Step 2: Convert to fraction form
    64,644.48/96,966.74 = 20,274.70/x
  3. Step 3: Cross multiply
    64,644.48x = 96,966.74 × 20,274.70
  4. Step 4: Simplify right side
    64,644.48x = 1,965,971,563.48
  5. Step 5: Solve for x
    x = 1,965,971,563.48/64,644.48
  6. Step 6: Final answer
    x = 30,412.06

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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.