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Finding the Fourth Proportional to 148,781.89, 205,354.74 and 85,156.60

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Solution

The fourth proportional to 148,781.89, 205,354.74 and 85,156.60 is: 117,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,781.89 : 205,354.74 = 85,156.60 : x
  2. Step 2: Convert to fraction form
    148,781.89/205,354.74 = 85,156.60/x
  3. Step 3: Cross multiply
    148,781.89x = 205,354.74 × 85,156.60
  4. Step 4: Simplify right side
    148,781.89x = 17,487,311,452.28
  5. Step 5: Solve for x
    x = 17,487,311,452.28/148,781.89
  6. Step 6: Final answer
    x = 117,536.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.