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Finding the Fourth Proportional to 76,687.97, 105,813.14 and 48,377.25

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Solution

The fourth proportional to 76,687.97, 105,813.14 and 48,377.25 is: 66,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687.97 : 105,813.14 = 48,377.25 : x
  2. Step 2: Convert to fraction form
    76,687.97/105,813.14 = 48,377.25/x
  3. Step 3: Cross multiply
    76,687.97x = 105,813.14 × 48,377.25
  4. Step 4: Simplify right side
    76,687.97x = 5,118,948,485.18
  5. Step 5: Solve for x
    x = 5,118,948,485.18/76,687.97
  6. Step 6: Final answer
    x = 66,750.35

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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.