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Finding the Fourth Proportional to 75,076.48, 112,390.36 and 45,404.56

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Solution

The fourth proportional to 75,076.48, 112,390.36 and 45,404.56 is: 67,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,076.48 : 112,390.36 = 45,404.56 : x
  2. Step 2: Convert to fraction form
    75,076.48/112,390.36 = 45,404.56/x
  3. Step 3: Cross multiply
    75,076.48x = 112,390.36 × 45,404.56
  4. Step 4: Simplify right side
    75,076.48x = 5,103,034,844.04
  5. Step 5: Solve for x
    x = 5,103,034,844.04/75,076.48
  6. Step 6: Final answer
    x = 67,971.15

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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.