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Finding the Fourth Proportional to 125,107.16, 187,581.90 and 106,138.43

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Solution

The fourth proportional to 125,107.16, 187,581.90 and 106,138.43 is: 159,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,107.16 : 187,581.90 = 106,138.43 : x
  2. Step 2: Convert to fraction form
    125,107.16/187,581.90 = 106,138.43/x
  3. Step 3: Cross multiply
    125,107.16x = 187,581.90 × 106,138.43
  4. Step 4: Simplify right side
    125,107.16x = 19,909,647,424.51
  5. Step 5: Solve for x
    x = 19,909,647,424.51/125,107.16
  6. Step 6: Final answer
    x = 159,140.75

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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.