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Finding the Fourth Proportional to 100,489.43, 150,512.72 and 56,005.85

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Solution

The fourth proportional to 100,489.43, 150,512.72 and 56,005.85 is: 83,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,489.43 : 150,512.72 = 56,005.85 : x
  2. Step 2: Convert to fraction form
    100,489.43/150,512.72 = 56,005.85/x
  3. Step 3: Cross multiply
    100,489.43x = 150,512.72 × 56,005.85
  4. Step 4: Simplify right side
    100,489.43x = 8,429,592,915.66
  5. Step 5: Solve for x
    x = 8,429,592,915.66/100,489.43
  6. Step 6: Final answer
    x = 83,885.37

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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.