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Finding the Fourth Proportional to 135,641.40, 203,462.10 and 69,286.20

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Solution

The fourth proportional to 135,641.40, 203,462.10 and 69,286.20 is: 103,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.40 : 203,462.10 = 69,286.20 : x
  2. Step 2: Convert to fraction form
    135,641.40/203,462.10 = 69,286.20/x
  3. Step 3: Cross multiply
    135,641.40x = 203,462.10 × 69,286.20
  4. Step 4: Simplify right side
    135,641.40x = 14,097,115,753.02
  5. Step 5: Solve for x
    x = 14,097,115,753.02/135,641.40
  6. Step 6: Final answer
    x = 103,929.30

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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.