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Finding the Fourth Proportional to 83,490.44, 115,159.00 and 51,640.43

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Solution

The fourth proportional to 83,490.44, 115,159.00 and 51,640.43 is: 71,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,490.44 : 115,159.00 = 51,640.43 : x
  2. Step 2: Convert to fraction form
    83,490.44/115,159.00 = 51,640.43/x
  3. Step 3: Cross multiply
    83,490.44x = 115,159.00 × 51,640.43
  4. Step 4: Simplify right side
    83,490.44x = 5,946,860,020.17
  5. Step 5: Solve for x
    x = 5,946,860,020.17/83,490.44
  6. Step 6: Final answer
    x = 71,228.04

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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.