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Finding the Fourth Proportional to 150,303.96, 225,538.92 and 83,781.54

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Solution

The fourth proportional to 150,303.96, 225,538.92 and 83,781.54 is: 125,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,303.96 : 225,538.92 = 83,781.54 : x
  2. Step 2: Convert to fraction form
    150,303.96/225,538.92 = 83,781.54/x
  3. Step 3: Cross multiply
    150,303.96x = 225,538.92 × 83,781.54
  4. Step 4: Simplify right side
    150,303.96x = 18,895,998,047.54
  5. Step 5: Solve for x
    x = 18,895,998,047.54/150,303.96
  6. Step 6: Final answer
    x = 125,718.56

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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.