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Finding the Fourth Proportional to 149,901.28, 206,866.49 and 81,921.13

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Solution

The fourth proportional to 149,901.28, 206,866.49 and 81,921.13 is: 113,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,901.28 : 206,866.49 = 81,921.13 : x
  2. Step 2: Convert to fraction form
    149,901.28/206,866.49 = 81,921.13/x
  3. Step 3: Cross multiply
    149,901.28x = 206,866.49 × 81,921.13
  4. Step 4: Simplify right side
    149,901.28x = 16,946,735,693.16
  5. Step 5: Solve for x
    x = 16,946,735,693.16/149,901.28
  6. Step 6: Final answer
    x = 113,052.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.