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Finding the Fourth Proportional to 136,736, 205,201.20 and 53,630

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Solution

The fourth proportional to 136,736, 205,201.20 and 53,630 is: 80,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,736 : 205,201.20 = 53,630 : x
  2. Step 2: Convert to fraction form
    136,736/205,201.20 = 53,630/x
  3. Step 3: Cross multiply
    136,736x = 205,201.20 × 53,630
  4. Step 4: Simplify right side
    136,736x = 11,004,940,356
  5. Step 5: Solve for x
    x = 11,004,940,356/136,736
  6. Step 6: Final answer
    x = 80,483.12

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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.