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Finding the Fourth Proportional to 211,787.87, 317,611.34 and 85,395.47

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Solution

The fourth proportional to 211,787.87, 317,611.34 and 85,395.47 is: 128,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,787.87 : 317,611.34 = 85,395.47 : x
  2. Step 2: Convert to fraction form
    211,787.87/317,611.34 = 85,395.47/x
  3. Step 3: Cross multiply
    211,787.87x = 317,611.34 × 85,395.47
  4. Step 4: Simplify right side
    211,787.87x = 27,122,570,023.68
  5. Step 5: Solve for x
    x = 27,122,570,023.68/211,787.87
  6. Step 6: Final answer
    x = 128,064.79

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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.