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Finding the Fourth Proportional to 149,289, 223,934.34 and 38,481

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Solution

The fourth proportional to 149,289, 223,934.34 and 38,481 is: 57,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,289 : 223,934.34 = 38,481 : x
  2. Step 2: Convert to fraction form
    149,289/223,934.34 = 38,481/x
  3. Step 3: Cross multiply
    149,289x = 223,934.34 × 38,481
  4. Step 4: Simplify right side
    149,289x = 8,617,217,337.54
  5. Step 5: Solve for x
    x = 8,617,217,337.54/149,289
  6. Step 6: Final answer
    x = 57,721.72

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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.