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Finding the Fourth Proportional to 85,432.21, 117,894.04 and 47,191.04

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Solution

The fourth proportional to 85,432.21, 117,894.04 and 47,191.04 is: 65,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,432.21 : 117,894.04 = 47,191.04 : x
  2. Step 2: Convert to fraction form
    85,432.21/117,894.04 = 47,191.04/x
  3. Step 3: Cross multiply
    85,432.21x = 117,894.04 × 47,191.04
  4. Step 4: Simplify right side
    85,432.21x = 5,563,542,357.40
  5. Step 5: Solve for x
    x = 5,563,542,357.40/85,432.21
  6. Step 6: Final answer
    x = 65,122.30

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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.