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Finding the Fourth Proportional to 81,664, 112,704.96 and 51,856

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Solution

The fourth proportional to 81,664, 112,704.96 and 51,856 is: 71,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664 : 112,704.96 = 51,856 : x
  2. Step 2: Convert to fraction form
    81,664/112,704.96 = 51,856/x
  3. Step 3: Cross multiply
    81,664x = 112,704.96 × 51,856
  4. Step 4: Simplify right side
    81,664x = 5,844,428,405.76
  5. Step 5: Solve for x
    x = 5,844,428,405.76/81,664
  6. Step 6: Final answer
    x = 71,566.77

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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.