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Finding the Fourth Proportional to 135,323.20, 202,984.80 and 65,209.60

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Solution

The fourth proportional to 135,323.20, 202,984.80 and 65,209.60 is: 97,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,323.20 : 202,984.80 = 65,209.60 : x
  2. Step 2: Convert to fraction form
    135,323.20/202,984.80 = 65,209.60/x
  3. Step 3: Cross multiply
    135,323.20x = 202,984.80 × 65,209.60
  4. Step 4: Simplify right side
    135,323.20x = 13,236,557,614.08
  5. Step 5: Solve for x
    x = 13,236,557,614.08/135,323.20
  6. Step 6: Final answer
    x = 97,814.40

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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.