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Finding the Fourth Proportional to 137,320.80, 205,981.20 and 121,768.80

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Solution

The fourth proportional to 137,320.80, 205,981.20 and 121,768.80 is: 182,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,320.80 : 205,981.20 = 121,768.80 : x
  2. Step 2: Convert to fraction form
    137,320.80/205,981.20 = 121,768.80/x
  3. Step 3: Cross multiply
    137,320.80x = 205,981.20 × 121,768.80
  4. Step 4: Simplify right side
    137,320.80x = 25,082,083,546.56
  5. Step 5: Solve for x
    x = 25,082,083,546.56/137,320.80
  6. Step 6: Final answer
    x = 182,653.20

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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.