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Finding the Fourth Proportional to 86,144.82, 118,890.50 and 52,154.60

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Solution

The fourth proportional to 86,144.82, 118,890.50 and 52,154.60 is: 71,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,144.82 : 118,890.50 = 52,154.60 : x
  2. Step 2: Convert to fraction form
    86,144.82/118,890.50 = 52,154.60/x
  3. Step 3: Cross multiply
    86,144.82x = 118,890.50 × 52,154.60
  4. Step 4: Simplify right side
    86,144.82x = 6,200,685,616.07
  5. Step 5: Solve for x
    x = 6,200,685,616.07/86,144.82
  6. Step 6: Final answer
    x = 71,979.78

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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.