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Finding the Fourth Proportional to 159,577.80, 220,201.13 and 91,578.50

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Solution

The fourth proportional to 159,577.80, 220,201.13 and 91,578.50 is: 126,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,577.80 : 220,201.13 = 91,578.50 : x
  2. Step 2: Convert to fraction form
    159,577.80/220,201.13 = 91,578.50/x
  3. Step 3: Cross multiply
    159,577.80x = 220,201.13 × 91,578.50
  4. Step 4: Simplify right side
    159,577.80x = 20,165,689,137.40
  5. Step 5: Solve for x
    x = 20,165,689,137.40/159,577.80
  6. Step 6: Final answer
    x = 126,369.02

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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.