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Finding the Fourth Proportional to 64,143.92, 96,231.53 and 45,205.47

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Solution

The fourth proportional to 64,143.92, 96,231.53 and 45,205.47 is: 67,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,143.92 : 96,231.53 = 45,205.47 : x
  2. Step 2: Convert to fraction form
    64,143.92/96,231.53 = 45,205.47/x
  3. Step 3: Cross multiply
    64,143.92x = 96,231.53 × 45,205.47
  4. Step 4: Simplify right side
    64,143.92x = 4,350,190,955.57
  5. Step 5: Solve for x
    x = 4,350,190,955.57/64,143.92
  6. Step 6: Final answer
    x = 67,819.23

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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.