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Finding the Fourth Proportional to 68,564.70, 102,859.92 and 31,127.41

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Solution

The fourth proportional to 68,564.70, 102,859.92 and 31,127.41 is: 46,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,564.70 : 102,859.92 = 31,127.41 : x
  2. Step 2: Convert to fraction form
    68,564.70/102,859.92 = 31,127.41/x
  3. Step 3: Cross multiply
    68,564.70x = 102,859.92 × 31,127.41
  4. Step 4: Simplify right side
    68,564.70x = 3,201,762,645.26
  5. Step 5: Solve for x
    x = 3,201,762,645.26/68,564.70
  6. Step 6: Final answer
    x = 46,696.96

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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.