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Finding the Fourth Proportional to 64,200.70, 96,323.78 and 28,658.71

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Solution

The fourth proportional to 64,200.70, 96,323.78 and 28,658.71 is: 42,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,200.70 : 96,323.78 = 28,658.71 : x
  2. Step 2: Convert to fraction form
    64,200.70/96,323.78 = 28,658.71/x
  3. Step 3: Cross multiply
    64,200.70x = 96,323.78 × 28,658.71
  4. Step 4: Simplify right side
    64,200.70x = 2,760,515,469.18
  5. Step 5: Solve for x
    x = 2,760,515,469.18/64,200.70
  6. Step 6: Final answer
    x = 42,998.21

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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.