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Finding the Fourth Proportional to 86,005.87, 118,684.10 and 47,767.86

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Solution

The fourth proportional to 86,005.87, 118,684.10 and 47,767.86 is: 65,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,005.87 : 118,684.10 = 47,767.86 : x
  2. Step 2: Convert to fraction form
    86,005.87/118,684.10 = 47,767.86/x
  3. Step 3: Cross multiply
    86,005.87x = 118,684.10 × 47,767.86
  4. Step 4: Simplify right side
    86,005.87x = 5,669,285,592.45
  5. Step 5: Solve for x
    x = 5,669,285,592.45/86,005.87
  6. Step 6: Final answer
    x = 65,917.43

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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.