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Finding the Fourth Proportional to 136,876.80, 205,315.20 and 122,131.20

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Solution

The fourth proportional to 136,876.80, 205,315.20 and 122,131.20 is: 183,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,876.80 : 205,315.20 = 122,131.20 : x
  2. Step 2: Convert to fraction form
    136,876.80/205,315.20 = 122,131.20/x
  3. Step 3: Cross multiply
    136,876.80x = 205,315.20 × 122,131.20
  4. Step 4: Simplify right side
    136,876.80x = 25,075,391,754.24
  5. Step 5: Solve for x
    x = 25,075,391,754.24/136,876.80
  6. Step 6: Final answer
    x = 183,196.80

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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.