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Finding the Fourth Proportional to 85,344.47, 117,766.44 and 47,103.32

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Solution

The fourth proportional to 85,344.47, 117,766.44 and 47,103.32 is: 64,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,344.47 : 117,766.44 = 47,103.32 : x
  2. Step 2: Convert to fraction form
    85,344.47/117,766.44 = 47,103.32/x
  3. Step 3: Cross multiply
    85,344.47x = 117,766.44 × 47,103.32
  4. Step 4: Simplify right side
    85,344.47x = 5,547,189,719.75
  5. Step 5: Solve for x
    x = 5,547,189,719.75/85,344.47
  6. Step 6: Final answer
    x = 64,997.64

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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.