Home / 106,201.86-159,299.07-31,323.16

Finding the Fourth Proportional to 106,201.86, 159,299.07 and 31,323.16

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Solution

The fourth proportional to 106,201.86, 159,299.07 and 31,323.16 is: 46,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,201.86 : 159,299.07 = 31,323.16 : x
  2. Step 2: Convert to fraction form
    106,201.86/159,299.07 = 31,323.16/x
  3. Step 3: Cross multiply
    106,201.86x = 159,299.07 × 31,323.16
  4. Step 4: Simplify right side
    106,201.86x = 4,989,750,257.46
  5. Step 5: Solve for x
    x = 4,989,750,257.46/106,201.86
  6. Step 6: Final answer
    x = 46,983.64

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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.