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Finding the Fourth Proportional to 138,624.69, 208,029.30 and 75,460.74

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Solution

The fourth proportional to 138,624.69, 208,029.30 and 75,460.74 is: 113,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,624.69 : 208,029.30 = 75,460.74 : x
  2. Step 2: Convert to fraction form
    138,624.69/208,029.30 = 75,460.74/x
  3. Step 3: Cross multiply
    138,624.69x = 208,029.30 × 75,460.74
  4. Step 4: Simplify right side
    138,624.69x = 15,698,044,919.68
  5. Step 5: Solve for x
    x = 15,698,044,919.68/138,624.69
  6. Step 6: Final answer
    x = 113,241.33

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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.