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Finding the Fourth Proportional to 128,082.55, 192,146.10 and 53,161.60

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Solution

The fourth proportional to 128,082.55, 192,146.10 and 53,161.60 is: 79,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,082.55 : 192,146.10 = 53,161.60 : x
  2. Step 2: Convert to fraction form
    128,082.55/192,146.10 = 53,161.60/x
  3. Step 3: Cross multiply
    128,082.55x = 192,146.10 × 53,161.60
  4. Step 4: Simplify right side
    128,082.55x = 10,214,794,109.76
  5. Step 5: Solve for x
    x = 10,214,794,109.76/128,082.55
  6. Step 6: Final answer
    x = 79,751.65

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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.