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Finding the Fourth Proportional to 76,967.85, 106,239.83 and 45,149.61

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Solution

The fourth proportional to 76,967.85, 106,239.83 and 45,149.61 is: 62,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,967.85 : 106,239.83 = 45,149.61 : x
  2. Step 2: Convert to fraction form
    76,967.85/106,239.83 = 45,149.61/x
  3. Step 3: Cross multiply
    76,967.85x = 106,239.83 × 45,149.61
  4. Step 4: Simplify right side
    76,967.85x = 4,796,686,890.97
  5. Step 5: Solve for x
    x = 4,796,686,890.97/76,967.85
  6. Step 6: Final answer
    x = 62,320.66

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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.