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Finding the Fourth Proportional to 212,611.70, 318,917.55 and 123,965.30

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Solution

The fourth proportional to 212,611.70, 318,917.55 and 123,965.30 is: 185,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,611.70 : 318,917.55 = 123,965.30 : x
  2. Step 2: Convert to fraction form
    212,611.70/318,917.55 = 123,965.30/x
  3. Step 3: Cross multiply
    212,611.70x = 318,917.55 × 123,965.30
  4. Step 4: Simplify right side
    212,611.70x = 39,534,709,761.02
  5. Step 5: Solve for x
    x = 39,534,709,761.02/212,611.70
  6. Step 6: Final answer
    x = 185,947.95

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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.