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Finding the Fourth Proportional to 135,704.36, 203,681.82 and 97,793

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Solution

The fourth proportional to 135,704.36, 203,681.82 and 97,793 is: 146,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,704.36 : 203,681.82 = 97,793 : x
  2. Step 2: Convert to fraction form
    135,704.36/203,681.82 = 97,793/x
  3. Step 3: Cross multiply
    135,704.36x = 203,681.82 × 97,793
  4. Step 4: Simplify right side
    135,704.36x = 19,918,656,223.26
  5. Step 5: Solve for x
    x = 19,918,656,223.26/135,704.36
  6. Step 6: Final answer
    x = 146,779.78

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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.