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Finding the Fourth Proportional to 85,287.92, 117,697.86 and 47,564.60

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Solution

The fourth proportional to 85,287.92, 117,697.86 and 47,564.60 is: 65,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,287.92 : 117,697.86 = 47,564.60 : x
  2. Step 2: Convert to fraction form
    85,287.92/117,697.86 = 47,564.60/x
  3. Step 3: Cross multiply
    85,287.92x = 117,697.86 × 47,564.60
  4. Step 4: Simplify right side
    85,287.92x = 5,598,251,631.76
  5. Step 5: Solve for x
    x = 5,598,251,631.76/85,287.92
  6. Step 6: Final answer
    x = 65,639.44

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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.