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Finding the Fourth Proportional to 87,057, 120,150 and 51,250.32

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Solution

The fourth proportional to 87,057, 120,150 and 51,250.32 is: 70,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,057 : 120,150 = 51,250.32 : x
  2. Step 2: Convert to fraction form
    87,057/120,150 = 51,250.32/x
  3. Step 3: Cross multiply
    87,057x = 120,150 × 51,250.32
  4. Step 4: Simplify right side
    87,057x = 6,157,725,948
  5. Step 5: Solve for x
    x = 6,157,725,948/87,057
  6. Step 6: Final answer
    x = 70,732.12

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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.