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Finding the Fourth Proportional to 77,687.84, 116,531.82 and 33,285.80

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Solution

The fourth proportional to 77,687.84, 116,531.82 and 33,285.80 is: 49,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,687.84 : 116,531.82 = 33,285.80 : x
  2. Step 2: Convert to fraction form
    77,687.84/116,531.82 = 33,285.80/x
  3. Step 3: Cross multiply
    77,687.84x = 116,531.82 × 33,285.80
  4. Step 4: Simplify right side
    77,687.84x = 3,878,854,854.16
  5. Step 5: Solve for x
    x = 3,878,854,854.16/77,687.84
  6. Step 6: Final answer
    x = 49,928.73

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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.