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Finding the Fourth Proportional to 86,101.62, 118,819.42 and 47,860.16

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Solution

The fourth proportional to 86,101.62, 118,819.42 and 47,860.16 is: 66,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,101.62 : 118,819.42 = 47,860.16 : x
  2. Step 2: Convert to fraction form
    86,101.62/118,819.42 = 47,860.16/x
  3. Step 3: Cross multiply
    86,101.62x = 118,819.42 × 47,860.16
  4. Step 4: Simplify right side
    86,101.62x = 5,686,716,452.31
  5. Step 5: Solve for x
    x = 5,686,716,452.31/86,101.62
  6. Step 6: Final answer
    x = 66,046.57

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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.