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Finding the Fourth Proportional to 100,013.31, 150,052.82 and 40,898.70

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Solution

The fourth proportional to 100,013.31, 150,052.82 and 40,898.70 is: 61,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.31 : 150,052.82 = 40,898.70 : x
  2. Step 2: Convert to fraction form
    100,013.31/150,052.82 = 40,898.70/x
  3. Step 3: Cross multiply
    100,013.31x = 150,052.82 × 40,898.70
  4. Step 4: Simplify right side
    100,013.31x = 6,136,965,064.84
  5. Step 5: Solve for x
    x = 6,136,965,064.84/100,013.31
  6. Step 6: Final answer
    x = 61,361.48

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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.