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Finding the Fourth Proportional to 85,257.88, 117,653.13 and 47,019.02

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Solution

The fourth proportional to 85,257.88, 117,653.13 and 47,019.02 is: 64,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,257.88 : 117,653.13 = 47,019.02 : x
  2. Step 2: Convert to fraction form
    85,257.88/117,653.13 = 47,019.02/x
  3. Step 3: Cross multiply
    85,257.88x = 117,653.13 × 47,019.02
  4. Step 4: Simplify right side
    85,257.88x = 5,531,934,284.27
  5. Step 5: Solve for x
    x = 5,531,934,284.27/85,257.88
  6. Step 6: Final answer
    x = 64,884.73

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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.