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Finding the Fourth Proportional to 135,974.88, 203,931.52 and 51,705

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Solution

The fourth proportional to 135,974.88, 203,931.52 and 51,705 is: 77,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,974.88 : 203,931.52 = 51,705 : x
  2. Step 2: Convert to fraction form
    135,974.88/203,931.52 = 51,705/x
  3. Step 3: Cross multiply
    135,974.88x = 203,931.52 × 51,705
  4. Step 4: Simplify right side
    135,974.88x = 10,544,279,241.60
  5. Step 5: Solve for x
    x = 10,544,279,241.60/135,974.88
  6. Step 6: Final answer
    x = 77,545.79

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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.