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Finding the Fourth Proportional to 81,699.58, 112,757.93 and 49,887.10

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Solution

The fourth proportional to 81,699.58, 112,757.93 and 49,887.10 is: 68,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,699.58 : 112,757.93 = 49,887.10 : x
  2. Step 2: Convert to fraction form
    81,699.58/112,757.93 = 49,887.10/x
  3. Step 3: Cross multiply
    81,699.58x = 112,757.93 × 49,887.10
  4. Step 4: Simplify right side
    81,699.58x = 5,625,165,972.53
  5. Step 5: Solve for x
    x = 5,625,165,972.53/81,699.58
  6. Step 6: Final answer
    x = 68,851.84

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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.