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Finding the Fourth Proportional to 87,056, 120,137.28 and 51,728

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Solution

The fourth proportional to 87,056, 120,137.28 and 51,728 is: 71,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,056 : 120,137.28 = 51,728 : x
  2. Step 2: Convert to fraction form
    87,056/120,137.28 = 51,728/x
  3. Step 3: Cross multiply
    87,056x = 120,137.28 × 51,728
  4. Step 4: Simplify right side
    87,056x = 6,214,461,219.84
  5. Step 5: Solve for x
    x = 6,214,461,219.84/87,056
  6. Step 6: Final answer
    x = 71,384.64

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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.