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Finding the Fourth Proportional to 135,215.70, 202,823.55 and 85,352.10

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Solution

The fourth proportional to 135,215.70, 202,823.55 and 85,352.10 is: 128,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,215.70 : 202,823.55 = 85,352.10 : x
  2. Step 2: Convert to fraction form
    135,215.70/202,823.55 = 85,352.10/x
  3. Step 3: Cross multiply
    135,215.70x = 202,823.55 × 85,352.10
  4. Step 4: Simplify right side
    135,215.70x = 17,311,415,921.96
  5. Step 5: Solve for x
    x = 17,311,415,921.96/135,215.70
  6. Step 6: Final answer
    x = 128,028.15

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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.