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Finding the Fourth Proportional to 106,112.94, 159,142.95 and 31,218.18

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Solution

The fourth proportional to 106,112.94, 159,142.95 and 31,218.18 is: 46,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,112.94 : 159,142.95 = 31,218.18 : x
  2. Step 2: Convert to fraction form
    106,112.94/159,142.95 = 31,218.18/x
  3. Step 3: Cross multiply
    106,112.94x = 159,142.95 × 31,218.18
  4. Step 4: Simplify right side
    106,112.94x = 4,968,153,258.83
  5. Step 5: Solve for x
    x = 4,968,153,258.83/106,112.94
  6. Step 6: Final answer
    x = 46,819.49

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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.