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Finding the Fourth Proportional to 86,224.47, 118,987.86 and 47,982.54

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Solution

The fourth proportional to 86,224.47, 118,987.86 and 47,982.54 is: 66,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,224.47 : 118,987.86 = 47,982.54 : x
  2. Step 2: Convert to fraction form
    86,224.47/118,987.86 = 47,982.54/x
  3. Step 3: Cross multiply
    86,224.47x = 118,987.86 × 47,982.54
  4. Step 4: Simplify right side
    86,224.47x = 5,709,339,751.96
  5. Step 5: Solve for x
    x = 5,709,339,751.96/86,224.47
  6. Step 6: Final answer
    x = 66,214.84

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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.