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Finding the Fourth Proportional to 135,657.80, 203,503.02 and 65,487.80

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Solution

The fourth proportional to 135,657.80, 203,503.02 and 65,487.80 is: 98,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,657.80 : 203,503.02 = 65,487.80 : x
  2. Step 2: Convert to fraction form
    135,657.80/203,503.02 = 65,487.80/x
  3. Step 3: Cross multiply
    135,657.80x = 203,503.02 × 65,487.80
  4. Step 4: Simplify right side
    135,657.80x = 13,326,965,073.16
  5. Step 5: Solve for x
    x = 13,326,965,073.16/135,657.80
  6. Step 6: Final answer
    x = 98,239.58

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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.