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Finding the Fourth Proportional to 81,717.94, 112,753.20 and 47,710.96

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Solution

The fourth proportional to 81,717.94, 112,753.20 and 47,710.96 is: 65,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,717.94 : 112,753.20 = 47,710.96 : x
  2. Step 2: Convert to fraction form
    81,717.94/112,753.20 = 47,710.96/x
  3. Step 3: Cross multiply
    81,717.94x = 112,753.20 × 47,710.96
  4. Step 4: Simplify right side
    81,717.94x = 5,379,563,415.07
  5. Step 5: Solve for x
    x = 5,379,563,415.07/81,717.94
  6. Step 6: Final answer
    x = 65,830.87

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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.