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Finding the Fourth Proportional to 86,751.60, 130,321.80 and 83,209.20

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Solution

The fourth proportional to 86,751.60, 130,321.80 and 83,209.20 is: 125,000.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,751.60 : 130,321.80 = 83,209.20 : x
  2. Step 2: Convert to fraction form
    86,751.60/130,321.80 = 83,209.20/x
  3. Step 3: Cross multiply
    86,751.60x = 130,321.80 × 83,209.20
  4. Step 4: Simplify right side
    86,751.60x = 10,843,972,720.56
  5. Step 5: Solve for x
    x = 10,843,972,720.56/86,751.60
  6. Step 6: Final answer
    x = 125,000.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.