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Finding the Fourth Proportional to 85,019.68, 117,324 and 47,293.12

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Solution

The fourth proportional to 85,019.68, 117,324 and 47,293.12 is: 65,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,019.68 : 117,324 = 47,293.12 : x
  2. Step 2: Convert to fraction form
    85,019.68/117,324 = 47,293.12/x
  3. Step 3: Cross multiply
    85,019.68x = 117,324 × 47,293.12
  4. Step 4: Simplify right side
    85,019.68x = 5,548,618,010.88
  5. Step 5: Solve for x
    x = 5,548,618,010.88/85,019.68
  6. Step 6: Final answer
    x = 65,262.75

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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.