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Finding the Fourth Proportional to 165,190.90, 227,952.21 and 89,737.78

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Solution

The fourth proportional to 165,190.90, 227,952.21 and 89,737.78 is: 123,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,190.90 : 227,952.21 = 89,737.78 : x
  2. Step 2: Convert to fraction form
    165,190.90/227,952.21 = 89,737.78/x
  3. Step 3: Cross multiply
    165,190.90x = 227,952.21 × 89,737.78
  4. Step 4: Simplify right side
    165,190.90x = 20,455,925,271.49
  5. Step 5: Solve for x
    x = 20,455,925,271.49/165,190.90
  6. Step 6: Final answer
    x = 123,832.03

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