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Finding the Fourth Proportional to 211,780.84, 317,733.39 and 85,356.17

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Solution

The fourth proportional to 211,780.84, 317,733.39 and 85,356.17 is: 128,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,780.84 : 317,733.39 = 85,356.17 : x
  2. Step 2: Convert to fraction form
    211,780.84/317,733.39 = 85,356.17/x
  3. Step 3: Cross multiply
    211,780.84x = 317,733.39 × 85,356.17
  4. Step 4: Simplify right side
    211,780.84x = 27,120,504,824.74
  5. Step 5: Solve for x
    x = 27,120,504,824.74/211,780.84
  6. Step 6: Final answer
    x = 128,059.30

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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.