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Finding the Fourth Proportional to 64,145.42, 96,233.78 and 45,206.97

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Solution

The fourth proportional to 64,145.42, 96,233.78 and 45,206.97 is: 67,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,145.42 : 96,233.78 = 45,206.97 : x
  2. Step 2: Convert to fraction form
    64,145.42/96,233.78 = 45,206.97/x
  3. Step 3: Cross multiply
    64,145.42x = 96,233.78 × 45,206.97
  4. Step 4: Simplify right side
    64,145.42x = 4,350,437,379.41
  5. Step 5: Solve for x
    x = 4,350,437,379.41/64,145.42
  6. Step 6: Final answer
    x = 67,821.48

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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.