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Finding the Fourth Proportional to 170,821.70, 256,389.30 and 86,640.44

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Solution

The fourth proportional to 170,821.70, 256,389.30 and 86,640.44 is: 130,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,821.70 : 256,389.30 = 86,640.44 : x
  2. Step 2: Convert to fraction form
    170,821.70/256,389.30 = 86,640.44/x
  3. Step 3: Cross multiply
    170,821.70x = 256,389.30 × 86,640.44
  4. Step 4: Simplify right side
    170,821.70x = 22,213,681,763.29
  5. Step 5: Solve for x
    x = 22,213,681,763.29/170,821.70
  6. Step 6: Final answer
    x = 130,040.16

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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.