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Finding the Fourth Proportional to 102,003.72, 140,721.48 and 63,696.77

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Solution

The fourth proportional to 102,003.72, 140,721.48 and 63,696.77 is: 87,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.72 : 140,721.48 = 63,696.77 : x
  2. Step 2: Convert to fraction form
    102,003.72/140,721.48 = 63,696.77/x
  3. Step 3: Cross multiply
    102,003.72x = 140,721.48 × 63,696.77
  4. Step 4: Simplify right side
    102,003.72x = 8,963,503,042.01
  5. Step 5: Solve for x
    x = 8,963,503,042.01/102,003.72
  6. Step 6: Final answer
    x = 87,874.28

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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.