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Finding the Fourth Proportional to 84,786.66, 117,007.74 and 47,989.98

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Solution

The fourth proportional to 84,786.66, 117,007.74 and 47,989.98 is: 66,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,786.66 : 117,007.74 = 47,989.98 : x
  2. Step 2: Convert to fraction form
    84,786.66/117,007.74 = 47,989.98/x
  3. Step 3: Cross multiply
    84,786.66x = 117,007.74 × 47,989.98
  4. Step 4: Simplify right side
    84,786.66x = 5,615,199,102.45
  5. Step 5: Solve for x
    x = 5,615,199,102.45/84,786.66
  6. Step 6: Final answer
    x = 66,227.39

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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.