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Finding the Fourth Proportional to 225,675.54, 311,216.65 and 135,017.10

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Solution

The fourth proportional to 225,675.54, 311,216.65 and 135,017.10 is: 186,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,675.54 : 311,216.65 = 135,017.10 : x
  2. Step 2: Convert to fraction form
    225,675.54/311,216.65 = 135,017.10/x
  3. Step 3: Cross multiply
    225,675.54x = 311,216.65 × 135,017.10
  4. Step 4: Simplify right side
    225,675.54x = 42,019,569,217.17
  5. Step 5: Solve for x
    x = 42,019,569,217.17/225,675.54
  6. Step 6: Final answer
    x = 186,194.61

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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.