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Finding the Fourth Proportional to 96,950.78, 145,421.94 and 30,389.39

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Solution

The fourth proportional to 96,950.78, 145,421.94 and 30,389.39 is: 45,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,950.78 : 145,421.94 = 30,389.39 : x
  2. Step 2: Convert to fraction form
    96,950.78/145,421.94 = 30,389.39/x
  3. Step 3: Cross multiply
    96,950.78x = 145,421.94 × 30,389.39
  4. Step 4: Simplify right side
    96,950.78x = 4,419,284,049.22
  5. Step 5: Solve for x
    x = 4,419,284,049.22/96,950.78
  6. Step 6: Final answer
    x = 45,582.76

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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.