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Finding the Fourth Proportional to 101,214, 151,913.58 and 51,328.52

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Solution

The fourth proportional to 101,214, 151,913.58 and 51,328.52 is: 77,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,214 : 151,913.58 = 51,328.52 : x
  2. Step 2: Convert to fraction form
    101,214/151,913.58 = 51,328.52/x
  3. Step 3: Cross multiply
    101,214x = 151,913.58 × 51,328.52
  4. Step 4: Simplify right side
    101,214x = 7,797,499,229.30
  5. Step 5: Solve for x
    x = 7,797,499,229.30/101,214
  6. Step 6: Final answer
    x = 77,039.73

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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.