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Finding the Fourth Proportional to 78,336.40, 117,480.84 and 22,172.08

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Solution

The fourth proportional to 78,336.40, 117,480.84 and 22,172.08 is: 33,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,336.40 : 117,480.84 = 22,172.08 : x
  2. Step 2: Convert to fraction form
    78,336.40/117,480.84 = 22,172.08/x
  3. Step 3: Cross multiply
    78,336.40x = 117,480.84 × 22,172.08
  4. Step 4: Simplify right side
    78,336.40x = 2,604,794,582.95
  5. Step 5: Solve for x
    x = 2,604,794,582.95/78,336.40
  6. Step 6: Final answer
    x = 33,251.40

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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.