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Finding the Fourth Proportional to 136,972.60, 205,329.30 and 80,855.80

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Solution

The fourth proportional to 136,972.60, 205,329.30 and 80,855.80 is: 121,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,972.60 : 205,329.30 = 80,855.80 : x
  2. Step 2: Convert to fraction form
    136,972.60/205,329.30 = 80,855.80/x
  3. Step 3: Cross multiply
    136,972.60x = 205,329.30 × 80,855.80
  4. Step 4: Simplify right side
    136,972.60x = 16,602,064,814.94
  5. Step 5: Solve for x
    x = 16,602,064,814.94/136,972.60
  6. Step 6: Final answer
    x = 121,207.20

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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.