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Finding the Fourth Proportional to 170,189.70, 255,442.16 and 86,009.10

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Solution

The fourth proportional to 170,189.70, 255,442.16 and 86,009.10 is: 129,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,189.70 : 255,442.16 = 86,009.10 : x
  2. Step 2: Convert to fraction form
    170,189.70/255,442.16 = 86,009.10/x
  3. Step 3: Cross multiply
    170,189.70x = 255,442.16 × 86,009.10
  4. Step 4: Simplify right side
    170,189.70x = 21,970,350,283.66
  5. Step 5: Solve for x
    x = 21,970,350,283.66/170,189.70
  6. Step 6: Final answer
    x = 129,093.30

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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.