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Finding the Fourth Proportional to 85,872.92, 118,496.16 and 47,631.80

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Solution

The fourth proportional to 85,872.92, 118,496.16 and 47,631.80 is: 65,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872.92 : 118,496.16 = 47,631.80 : x
  2. Step 2: Convert to fraction form
    85,872.92/118,496.16 = 47,631.80/x
  3. Step 3: Cross multiply
    85,872.92x = 118,496.16 × 47,631.80
  4. Step 4: Simplify right side
    85,872.92x = 5,644,185,393.89
  5. Step 5: Solve for x
    x = 5,644,185,393.89/85,872.92
  6. Step 6: Final answer
    x = 65,727.19

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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.