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Finding the Fourth Proportional to 84,871.62, 117,127.98 and 47,145.78

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Solution

The fourth proportional to 84,871.62, 117,127.98 and 47,145.78 is: 65,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,871.62 : 117,127.98 = 47,145.78 : x
  2. Step 2: Convert to fraction form
    84,871.62/117,127.98 = 47,145.78/x
  3. Step 3: Cross multiply
    84,871.62x = 117,127.98 × 47,145.78
  4. Step 4: Simplify right side
    84,871.62x = 5,522,089,976.92
  5. Step 5: Solve for x
    x = 5,522,089,976.92/84,871.62
  6. Step 6: Final answer
    x = 65,064.03

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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.