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Finding the Fourth Proportional to 64,142.48, 96,213.90 and 19,767.80

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Solution

The fourth proportional to 64,142.48, 96,213.90 and 19,767.80 is: 29,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142.48 : 96,213.90 = 19,767.80 : x
  2. Step 2: Convert to fraction form
    64,142.48/96,213.90 = 19,767.80/x
  3. Step 3: Cross multiply
    64,142.48x = 96,213.90 × 19,767.80
  4. Step 4: Simplify right side
    64,142.48x = 1,901,937,132.42
  5. Step 5: Solve for x
    x = 1,901,937,132.42/64,142.48
  6. Step 6: Final answer
    x = 29,651.76

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1.5x scale

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.