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Finding the Fourth Proportional to 76,820.44, 105,952.11 and 49,971.52

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Solution

The fourth proportional to 76,820.44, 105,952.11 and 49,971.52 is: 68,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,820.44 : 105,952.11 = 49,971.52 : x
  2. Step 2: Convert to fraction form
    76,820.44/105,952.11 = 49,971.52/x
  3. Step 3: Cross multiply
    76,820.44x = 105,952.11 × 49,971.52
  4. Step 4: Simplify right side
    76,820.44x = 5,294,587,983.91
  5. Step 5: Solve for x
    x = 5,294,587,983.91/76,820.44
  6. Step 6: Final answer
    x = 68,921.60

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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.