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Finding the Fourth Proportional to 90,017.96, 135,029.10 and 27,689

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Solution

The fourth proportional to 90,017.96, 135,029.10 and 27,689 is: 41,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,017.96 : 135,029.10 = 27,689 : x
  2. Step 2: Convert to fraction form
    90,017.96/135,029.10 = 27,689/x
  3. Step 3: Cross multiply
    90,017.96x = 135,029.10 × 27,689
  4. Step 4: Simplify right side
    90,017.96x = 3,738,820,749.90
  5. Step 5: Solve for x
    x = 3,738,820,749.90/90,017.96
  6. Step 6: Final answer
    x = 41,534.16

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1.5x scale

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.