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Finding the Fourth Proportional to 211,787.94, 317,611.42 and 85,395.54

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Solution

The fourth proportional to 211,787.94, 317,611.42 and 85,395.54 is: 128,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,787.94 : 317,611.42 = 85,395.54 : x
  2. Step 2: Convert to fraction form
    211,787.94/317,611.42 = 85,395.54/x
  3. Step 3: Cross multiply
    211,787.94x = 317,611.42 × 85,395.54
  4. Step 4: Simplify right side
    211,787.94x = 27,122,598,721.07
  5. Step 5: Solve for x
    x = 27,122,598,721.07/211,787.94
  6. Step 6: Final answer
    x = 128,064.89

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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.