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Finding the Fourth Proportional to 76,768.83, 105,963.80 and 48,493.35

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Solution

The fourth proportional to 76,768.83, 105,963.80 and 48,493.35 is: 66,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,768.83 : 105,963.80 = 48,493.35 : x
  2. Step 2: Convert to fraction form
    76,768.83/105,963.80 = 48,493.35/x
  3. Step 3: Cross multiply
    76,768.83x = 105,963.80 × 48,493.35
  4. Step 4: Simplify right side
    76,768.83x = 5,138,539,398.26
  5. Step 5: Solve for x
    x = 5,138,539,398.26/76,768.83
  6. Step 6: Final answer
    x = 66,935.23

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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.