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Finding the Fourth Proportional to 106,551.90, 159,633.45 and 86,723.10

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Solution

The fourth proportional to 106,551.90, 159,633.45 and 86,723.10 is: 129,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,551.90 : 159,633.45 = 86,723.10 : x
  2. Step 2: Convert to fraction form
    106,551.90/159,633.45 = 86,723.10/x
  3. Step 3: Cross multiply
    106,551.90x = 159,633.45 × 86,723.10
  4. Step 4: Simplify right side
    106,551.90x = 13,843,907,647.70
  5. Step 5: Solve for x
    x = 13,843,907,647.70/106,551.90
  6. Step 6: Final answer
    x = 129,926.43

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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.