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Finding the Fourth Proportional to 225,582, 338,412.12 and 75,836.76

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Solution

The fourth proportional to 225,582, 338,412.12 and 75,836.76 is: 113,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,582 : 338,412.12 = 75,836.76 : x
  2. Step 2: Convert to fraction form
    225,582/338,412.12 = 75,836.76/x
  3. Step 3: Cross multiply
    225,582x = 338,412.12 × 75,836.76
  4. Step 4: Simplify right side
    225,582x = 25,664,078,725.53
  5. Step 5: Solve for x
    x = 25,664,078,725.53/225,582
  6. Step 6: Final answer
    x = 113,768.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.