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Finding the Fourth Proportional to 205,201.40, 307,773.30 and 64,974.20

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Solution

The fourth proportional to 205,201.40, 307,773.30 and 64,974.20 is: 97,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,201.40 : 307,773.30 = 64,974.20 : x
  2. Step 2: Convert to fraction form
    205,201.40/307,773.30 = 64,974.20/x
  3. Step 3: Cross multiply
    205,201.40x = 307,773.30 × 64,974.20
  4. Step 4: Simplify right side
    205,201.40x = 19,997,323,948.86
  5. Step 5: Solve for x
    x = 19,997,323,948.86/205,201.40
  6. Step 6: Final answer
    x = 97,452.18

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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.