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Finding the Fourth Proportional to 102,801.80, 154,230.14 and 43,640.84

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Solution

The fourth proportional to 102,801.80, 154,230.14 and 43,640.84 is: 65,472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,801.80 : 154,230.14 = 43,640.84 : x
  2. Step 2: Convert to fraction form
    102,801.80/154,230.14 = 43,640.84/x
  3. Step 3: Cross multiply
    102,801.80x = 154,230.14 × 43,640.84
  4. Step 4: Simplify right side
    102,801.80x = 6,730,732,862.92
  5. Step 5: Solve for x
    x = 6,730,732,862.92/102,801.80
  6. Step 6: Final answer
    x = 65,472.91

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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.