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Finding the Fourth Proportional to 170,150.82, 255,384.10 and 85,970.12

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Solution

The fourth proportional to 170,150.82, 255,384.10 and 85,970.12 is: 129,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,150.82 : 255,384.10 = 85,970.12 : x
  2. Step 2: Convert to fraction form
    170,150.82/255,384.10 = 85,970.12/x
  3. Step 3: Cross multiply
    170,150.82x = 255,384.10 × 85,970.12
  4. Step 4: Simplify right side
    170,150.82x = 21,955,401,723.09
  5. Step 5: Solve for x
    x = 21,955,401,723.09/170,150.82
  6. Step 6: Final answer
    x = 129,034.95

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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.