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Finding the Fourth Proportional to 135,878.48, 203,830.68 and 52,778.96

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Solution

The fourth proportional to 135,878.48, 203,830.68 and 52,778.96 is: 79,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,878.48 : 203,830.68 = 52,778.96 : x
  2. Step 2: Convert to fraction form
    135,878.48/203,830.68 = 52,778.96/x
  3. Step 3: Cross multiply
    135,878.48x = 203,830.68 × 52,778.96
  4. Step 4: Simplify right side
    135,878.48x = 10,757,971,306.49
  5. Step 5: Solve for x
    x = 10,757,971,306.49/135,878.48
  6. Step 6: Final answer
    x = 79,173.47

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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.