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Finding the Fourth Proportional to 180,471.89, 270,973.96 and 100,665.79

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Solution

The fourth proportional to 180,471.89, 270,973.96 and 100,665.79 is: 151,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,471.89 : 270,973.96 = 100,665.79 : x
  2. Step 2: Convert to fraction form
    180,471.89/270,973.96 = 100,665.79/x
  3. Step 3: Cross multiply
    180,471.89x = 270,973.96 × 100,665.79
  4. Step 4: Simplify right side
    180,471.89x = 27,277,806,787.52
  5. Step 5: Solve for x
    x = 27,277,806,787.52/180,471.89
  6. Step 6: Final answer
    x = 151,147.12

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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.