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Finding the Fourth Proportional to 68,150.40, 102,006.90 and 53,278.80

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Solution

The fourth proportional to 68,150.40, 102,006.90 and 53,278.80 is: 79,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,150.40 : 102,006.90 = 53,278.80 : x
  2. Step 2: Convert to fraction form
    68,150.40/102,006.90 = 53,278.80/x
  3. Step 3: Cross multiply
    68,150.40x = 102,006.90 × 53,278.80
  4. Step 4: Simplify right side
    68,150.40x = 5,434,805,223.72
  5. Step 5: Solve for x
    x = 5,434,805,223.72/68,150.40
  6. Step 6: Final answer
    x = 79,747.22

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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.