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Finding the Fourth Proportional to 225,426.50, 311,088.57 and 124,824.50

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Solution

The fourth proportional to 225,426.50, 311,088.57 and 124,824.50 is: 172,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,426.50 : 311,088.57 = 124,824.50 : x
  2. Step 2: Convert to fraction form
    225,426.50/311,088.57 = 124,824.50/x
  3. Step 3: Cross multiply
    225,426.50x = 311,088.57 × 124,824.50
  4. Step 4: Simplify right side
    225,426.50x = 38,831,475,205.97
  5. Step 5: Solve for x
    x = 38,831,475,205.97/225,426.50
  6. Step 6: Final answer
    x = 172,257.81

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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.