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Finding the Fourth Proportional to 78,221.61, 117,262.22 and 28,289.97

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Solution

The fourth proportional to 78,221.61, 117,262.22 and 28,289.97 is: 42,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221.61 : 117,262.22 = 28,289.97 : x
  2. Step 2: Convert to fraction form
    78,221.61/117,262.22 = 28,289.97/x
  3. Step 3: Cross multiply
    78,221.61x = 117,262.22 × 28,289.97
  4. Step 4: Simplify right side
    78,221.61x = 3,317,344,544.48
  5. Step 5: Solve for x
    x = 3,317,344,544.48/78,221.61
  6. Step 6: Final answer
    x = 42,409.57

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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.