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Finding the Fourth Proportional to 106,221.20, 158,986.20 and 82,720.40

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Solution

The fourth proportional to 106,221.20, 158,986.20 and 82,720.40 is: 123,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221.20 : 158,986.20 = 82,720.40 : x
  2. Step 2: Convert to fraction form
    106,221.20/158,986.20 = 82,720.40/x
  3. Step 3: Cross multiply
    106,221.20x = 158,986.20 × 82,720.40
  4. Step 4: Simplify right side
    106,221.20x = 13,151,402,058.48
  5. Step 5: Solve for x
    x = 13,151,402,058.48/106,221.20
  6. Step 6: Final answer
    x = 123,811.46

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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.