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Finding the Fourth Proportional to 106,317.90, 159,331.05 and 86,634.90

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Solution

The fourth proportional to 106,317.90, 159,331.05 and 86,634.90 is: 129,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,317.90 : 159,331.05 = 86,634.90 : x
  2. Step 2: Convert to fraction form
    106,317.90/159,331.05 = 86,634.90/x
  3. Step 3: Cross multiply
    106,317.90x = 159,331.05 × 86,634.90
  4. Step 4: Simplify right side
    106,317.90x = 13,803,629,583.65
  5. Step 5: Solve for x
    x = 13,803,629,583.65/106,317.90
  6. Step 6: Final answer
    x = 129,833.54

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1.5x scale

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.