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Finding the Fourth Proportional to 76,963.59, 115,326.32 and 51,905.43

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Solution

The fourth proportional to 76,963.59, 115,326.32 and 51,905.43 is: 77,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963.59 : 115,326.32 = 51,905.43 : x
  2. Step 2: Convert to fraction form
    76,963.59/115,326.32 = 51,905.43/x
  3. Step 3: Cross multiply
    76,963.59x = 115,326.32 × 51,905.43
  4. Step 4: Simplify right side
    76,963.59x = 5,986,061,970.39
  5. Step 5: Solve for x
    x = 5,986,061,970.39/76,963.59
  6. Step 6: Final answer
    x = 77,777.84

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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.