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Finding the Fourth Proportional to 76,221.72, 105,208.20 and 49,363.20

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Solution

The fourth proportional to 76,221.72, 105,208.20 and 49,363.20 is: 68,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,221.72 : 105,208.20 = 49,363.20 : x
  2. Step 2: Convert to fraction form
    76,221.72/105,208.20 = 49,363.20/x
  3. Step 3: Cross multiply
    76,221.72x = 105,208.20 × 49,363.20
  4. Step 4: Simplify right side
    76,221.72x = 5,193,413,418.24
  5. Step 5: Solve for x
    x = 5,193,413,418.24/76,221.72
  6. Step 6: Final answer
    x = 68,135.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.