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Finding the Fourth Proportional to 165,143.72, 227,899.50 and 89,692.22

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Solution

The fourth proportional to 165,143.72, 227,899.50 and 89,692.22 is: 123,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,143.72 : 227,899.50 = 89,692.22 : x
  2. Step 2: Convert to fraction form
    165,143.72/227,899.50 = 89,692.22/x
  3. Step 3: Cross multiply
    165,143.72x = 227,899.50 × 89,692.22
  4. Step 4: Simplify right side
    165,143.72x = 20,440,812,091.89
  5. Step 5: Solve for x
    x = 20,440,812,091.89/165,143.72
  6. Step 6: Final answer
    x = 123,775.90

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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.