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Finding the Fourth Proportional to 225,924.50, 311,790.40 and 125,322.50

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Solution

The fourth proportional to 225,924.50, 311,790.40 and 125,322.50 is: 172,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924.50 : 311,790.40 = 125,322.50 : x
  2. Step 2: Convert to fraction form
    225,924.50/311,790.40 = 125,322.50/x
  3. Step 3: Cross multiply
    225,924.50x = 311,790.40 × 125,322.50
  4. Step 4: Simplify right side
    225,924.50x = 39,074,352,404
  5. Step 5: Solve for x
    x = 39,074,352,404/225,924.50
  6. Step 6: Final answer
    x = 172,953.14

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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.