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Finding the Fourth Proportional to 85,583.76, 118,103.38 and 47,342.31

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Solution

The fourth proportional to 85,583.76, 118,103.38 and 47,342.31 is: 65,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,583.76 : 118,103.38 = 47,342.31 : x
  2. Step 2: Convert to fraction form
    85,583.76/118,103.38 = 47,342.31/x
  3. Step 3: Cross multiply
    85,583.76x = 118,103.38 × 47,342.31
  4. Step 4: Simplify right side
    85,583.76x = 5,591,286,709.65
  5. Step 5: Solve for x
    x = 5,591,286,709.65/85,583.76
  6. Step 6: Final answer
    x = 65,331.16

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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.