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Finding the Fourth Proportional to 122,028.16, 182,744.16 and 75,216.64

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Solution

The fourth proportional to 122,028.16, 182,744.16 and 75,216.64 is: 112,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,028.16 : 182,744.16 = 75,216.64 : x
  2. Step 2: Convert to fraction form
    122,028.16/182,744.16 = 75,216.64/x
  3. Step 3: Cross multiply
    122,028.16x = 182,744.16 × 75,216.64
  4. Step 4: Simplify right side
    122,028.16x = 13,745,401,694.82
  5. Step 5: Solve for x
    x = 13,745,401,694.82/122,028.16
  6. Step 6: Final answer
    x = 112,641.23

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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.