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Finding the Fourth Proportional to 251,901.92, 377,911.20 and 83,415.68

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Solution

The fourth proportional to 251,901.92, 377,911.20 and 83,415.68 is: 125,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,901.92 : 377,911.20 = 83,415.68 : x
  2. Step 2: Convert to fraction form
    251,901.92/377,911.20 = 83,415.68/x
  3. Step 3: Cross multiply
    251,901.92x = 377,911.20 × 83,415.68
  4. Step 4: Simplify right side
    251,901.92x = 31,523,719,727.62
  5. Step 5: Solve for x
    x = 31,523,719,727.62/251,901.92
  6. Step 6: Final answer
    x = 125,142.83

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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.