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Finding the Fourth Proportional to 135,026.30, 202,150.65 and 82,538.30

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Solution

The fourth proportional to 135,026.30, 202,150.65 and 82,538.30 is: 123,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,026.30 : 202,150.65 = 82,538.30 : x
  2. Step 2: Convert to fraction form
    135,026.30/202,150.65 = 82,538.30/x
  3. Step 3: Cross multiply
    135,026.30x = 202,150.65 × 82,538.30
  4. Step 4: Simplify right side
    135,026.30x = 16,685,170,994.90
  5. Step 5: Solve for x
    x = 16,685,170,994.90/135,026.30
  6. Step 6: Final answer
    x = 123,569.79

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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.