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Finding the Fourth Proportional to 135,050.88, 202,446.48 and 90,690

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Solution

The fourth proportional to 135,050.88, 202,446.48 and 90,690 is: 135,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,050.88 : 202,446.48 = 90,690 : x
  2. Step 2: Convert to fraction form
    135,050.88/202,446.48 = 90,690/x
  3. Step 3: Cross multiply
    135,050.88x = 202,446.48 × 90,690
  4. Step 4: Simplify right side
    135,050.88x = 18,359,871,271.20
  5. Step 5: Solve for x
    x = 18,359,871,271.20/135,050.88
  6. Step 6: Final answer
    x = 135,947.81

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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.