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Finding the Fourth Proportional to 85,494.84, 117,982.74 and 47,257.32

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Solution

The fourth proportional to 85,494.84, 117,982.74 and 47,257.32 is: 65,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,494.84 : 117,982.74 = 47,257.32 : x
  2. Step 2: Convert to fraction form
    85,494.84/117,982.74 = 47,257.32/x
  3. Step 3: Cross multiply
    85,494.84x = 117,982.74 × 47,257.32
  4. Step 4: Simplify right side
    85,494.84x = 5,575,548,098.66
  5. Step 5: Solve for x
    x = 5,575,548,098.66/85,494.84
  6. Step 6: Final answer
    x = 65,215.02

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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.