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Finding the Fourth Proportional to 78,189.84, 117,290.04 and 38,736.36

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Solution

The fourth proportional to 78,189.84, 117,290.04 and 38,736.36 is: 58,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189.84 : 117,290.04 = 38,736.36 : x
  2. Step 2: Convert to fraction form
    78,189.84/117,290.04 = 38,736.36/x
  3. Step 3: Cross multiply
    78,189.84x = 117,290.04 × 38,736.36
  4. Step 4: Simplify right side
    78,189.84x = 4,543,389,213.85
  5. Step 5: Solve for x
    x = 4,543,389,213.85/78,189.84
  6. Step 6: Final answer
    x = 58,107.16

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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.