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Finding the Fourth Proportional to 225,461.64, 311,097.06 and 129,972.36

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Solution

The fourth proportional to 225,461.64, 311,097.06 and 129,972.36 is: 179,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,461.64 : 311,097.06 = 129,972.36 : x
  2. Step 2: Convert to fraction form
    225,461.64/311,097.06 = 129,972.36/x
  3. Step 3: Cross multiply
    225,461.64x = 311,097.06 × 129,972.36
  4. Step 4: Simplify right side
    225,461.64x = 40,434,019,077.26
  5. Step 5: Solve for x
    x = 40,434,019,077.26/225,461.64
  6. Step 6: Final answer
    x = 179,338.80

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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.