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Finding the Fourth Proportional to 205,168.60, 307,781.70 and 64,912.60

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Solution

The fourth proportional to 205,168.60, 307,781.70 and 64,912.60 is: 97,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,168.60 : 307,781.70 = 64,912.60 : x
  2. Step 2: Convert to fraction form
    205,168.60/307,781.70 = 64,912.60/x
  3. Step 3: Cross multiply
    205,168.60x = 307,781.70 × 64,912.60
  4. Step 4: Simplify right side
    205,168.60x = 19,978,910,379.42
  5. Step 5: Solve for x
    x = 19,978,910,379.42/205,168.60
  6. Step 6: Final answer
    x = 97,378.01

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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.