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Finding the Fourth Proportional to 137,805.03, 190,138.46 and 78,189.03

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Solution

The fourth proportional to 137,805.03, 190,138.46 and 78,189.03 is: 107,882.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,805.03 : 190,138.46 = 78,189.03 : x
  2. Step 2: Convert to fraction form
    137,805.03/190,138.46 = 78,189.03/x
  3. Step 3: Cross multiply
    137,805.03x = 190,138.46 × 78,189.03
  4. Step 4: Simplify right side
    137,805.03x = 14,866,741,362.15
  5. Step 5: Solve for x
    x = 14,866,741,362.15/137,805.03
  6. Step 6: Final answer
    x = 107,882.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.