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Finding the Fourth Proportional to 78,209.22, 117,298.77 and 22,035.21

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Solution

The fourth proportional to 78,209.22, 117,298.77 and 22,035.21 is: 33,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,209.22 : 117,298.77 = 22,035.21 : x
  2. Step 2: Convert to fraction form
    78,209.22/117,298.77 = 22,035.21/x
  3. Step 3: Cross multiply
    78,209.22x = 117,298.77 × 22,035.21
  4. Step 4: Simplify right side
    78,209.22x = 2,584,703,029.69
  5. Step 5: Solve for x
    x = 2,584,703,029.69/78,209.22
  6. Step 6: Final answer
    x = 33,048.57

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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.