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Finding the Fourth Proportional to 78,326.70, 117,494.62 and 22,162.11

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Solution

The fourth proportional to 78,326.70, 117,494.62 and 22,162.11 is: 33,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,326.70 : 117,494.62 = 22,162.11 : x
  2. Step 2: Convert to fraction form
    78,326.70/117,494.62 = 22,162.11/x
  3. Step 3: Cross multiply
    78,326.70x = 117,494.62 × 22,162.11
  4. Step 4: Simplify right side
    78,326.70x = 2,603,928,582.04
  5. Step 5: Solve for x
    x = 2,603,928,582.04/78,326.70
  6. Step 6: Final answer
    x = 33,244.46

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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.