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Finding the Fourth Proportional to 135,286.40, 202,929.60 and 65,302.40

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Solution

The fourth proportional to 135,286.40, 202,929.60 and 65,302.40 is: 97,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,286.40 : 202,929.60 = 65,302.40 : x
  2. Step 2: Convert to fraction form
    135,286.40/202,929.60 = 65,302.40/x
  3. Step 3: Cross multiply
    135,286.40x = 202,929.60 × 65,302.40
  4. Step 4: Simplify right side
    135,286.40x = 13,251,789,911.04
  5. Step 5: Solve for x
    x = 13,251,789,911.04/135,286.40
  6. Step 6: Final answer
    x = 97,953.60

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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.