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Finding the Fourth Proportional to 85,454.78, 117,929.43 and 47,729.10

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Solution

The fourth proportional to 85,454.78, 117,929.43 and 47,729.10 is: 65,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,454.78 : 117,929.43 = 47,729.10 : x
  2. Step 2: Convert to fraction form
    85,454.78/117,929.43 = 47,729.10/x
  3. Step 3: Cross multiply
    85,454.78x = 117,929.43 × 47,729.10
  4. Step 4: Simplify right side
    85,454.78x = 5,628,665,557.41
  5. Step 5: Solve for x
    x = 5,628,665,557.41/85,454.78
  6. Step 6: Final answer
    x = 65,867.18

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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.