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Finding the Fourth Proportional to 61,170.40, 84,418.50 and 34,321.42

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Solution

The fourth proportional to 61,170.40, 84,418.50 and 34,321.42 is: 47,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,170.40 : 84,418.50 = 34,321.42 : x
  2. Step 2: Convert to fraction form
    61,170.40/84,418.50 = 34,321.42/x
  3. Step 3: Cross multiply
    61,170.40x = 84,418.50 × 34,321.42
  4. Step 4: Simplify right side
    61,170.40x = 2,897,362,794.27
  5. Step 5: Solve for x
    x = 2,897,362,794.27/61,170.40
  6. Step 6: Final answer
    x = 47,365.44

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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.