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Finding the Fourth Proportional to 225,656.09, 311,364.56 and 145,065.14

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Solution

The fourth proportional to 225,656.09, 311,364.56 and 145,065.14 is: 200,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,656.09 : 311,364.56 = 145,065.14 : x
  2. Step 2: Convert to fraction form
    225,656.09/311,364.56 = 145,065.14/x
  3. Step 3: Cross multiply
    225,656.09x = 311,364.56 × 145,065.14
  4. Step 4: Simplify right side
    225,656.09x = 45,168,142,293.28
  5. Step 5: Solve for x
    x = 45,168,142,293.28/225,656.09
  6. Step 6: Final answer
    x = 200,163.64

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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.