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Finding the Fourth Proportional to 75,183.69, 112,775.49 and 70,201.43

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Solution

The fourth proportional to 75,183.69, 112,775.49 and 70,201.43 is: 105,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,183.69 : 112,775.49 = 70,201.43 : x
  2. Step 2: Convert to fraction form
    75,183.69/112,775.49 = 70,201.43/x
  3. Step 3: Cross multiply
    75,183.69x = 112,775.49 × 70,201.43
  4. Step 4: Simplify right side
    75,183.69x = 7,917,000,948.89
  5. Step 5: Solve for x
    x = 7,917,000,948.89/75,183.69
  6. Step 6: Final answer
    x = 105,302.11

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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.