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Finding the Fourth Proportional to 225,755.93, 311,754.08 and 145,323.25

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Solution

The fourth proportional to 225,755.93, 311,754.08 and 145,323.25 is: 200,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,755.93 : 311,754.08 = 145,323.25 : x
  2. Step 2: Convert to fraction form
    225,755.93/311,754.08 = 145,323.25/x
  3. Step 3: Cross multiply
    225,755.93x = 311,754.08 × 145,323.25
  4. Step 4: Simplify right side
    225,755.93x = 45,305,115,690.28
  5. Step 5: Solve for x
    x = 45,305,115,690.28/225,755.93
  6. Step 6: Final answer
    x = 200,681.84

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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.