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Finding the Fourth Proportional to 106,201, 159,290.46 and 66,640.84

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Solution

The fourth proportional to 106,201, 159,290.46 and 66,640.84 is: 99,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,201 : 159,290.46 = 66,640.84 : x
  2. Step 2: Convert to fraction form
    106,201/159,290.46 = 66,640.84/x
  3. Step 3: Cross multiply
    106,201x = 159,290.46 × 66,640.84
  4. Step 4: Simplify right side
    106,201x = 10,615,250,058.39
  5. Step 5: Solve for x
    x = 10,615,250,058.39/106,201
  6. Step 6: Final answer
    x = 99,954.33

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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.