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Finding the Fourth Proportional to 136,285.30, 204,039.15 and 120,733.30

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Solution

The fourth proportional to 136,285.30, 204,039.15 and 120,733.30 is: 180,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,285.30 : 204,039.15 = 120,733.30 : x
  2. Step 2: Convert to fraction form
    136,285.30/204,039.15 = 120,733.30/x
  3. Step 3: Cross multiply
    136,285.30x = 204,039.15 × 120,733.30
  4. Step 4: Simplify right side
    136,285.30x = 24,634,319,908.70
  5. Step 5: Solve for x
    x = 24,634,319,908.70/136,285.30
  6. Step 6: Final answer
    x = 180,755.52

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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.