Home / 106,214.52-159,284.66-31,314.78

Finding the Fourth Proportional to 106,214.52, 159,284.66 and 31,314.78

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Solution

The fourth proportional to 106,214.52, 159,284.66 and 31,314.78 is: 46,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,214.52 : 159,284.66 = 31,314.78 : x
  2. Step 2: Convert to fraction form
    106,214.52/159,284.66 = 31,314.78/x
  3. Step 3: Cross multiply
    106,214.52x = 159,284.66 × 31,314.78
  4. Step 4: Simplify right side
    106,214.52x = 4,987,963,928.70
  5. Step 5: Solve for x
    x = 4,987,963,928.70/106,214.52
  6. Step 6: Final answer
    x = 46,961.22

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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.