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Finding the Fourth Proportional to 225,617.16, 311,269.28 and 134,975.72

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Solution

The fourth proportional to 225,617.16, 311,269.28 and 134,975.72 is: 186,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,617.16 : 311,269.28 = 134,975.72 : x
  2. Step 2: Convert to fraction form
    225,617.16/311,269.28 = 134,975.72/x
  3. Step 3: Cross multiply
    225,617.16x = 311,269.28 × 134,975.72
  4. Step 4: Simplify right side
    225,617.16x = 42,013,795,181.88
  5. Step 5: Solve for x
    x = 42,013,795,181.88/225,617.16
  6. Step 6: Final answer
    x = 186,217.20

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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.