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Finding the Fourth Proportional to 211,571.76, 317,202.12 and 100,841.52

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Solution

The fourth proportional to 211,571.76, 317,202.12 and 100,841.52 is: 151,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,571.76 : 317,202.12 = 100,841.52 : x
  2. Step 2: Convert to fraction form
    211,571.76/317,202.12 = 100,841.52/x
  3. Step 3: Cross multiply
    211,571.76x = 317,202.12 × 100,841.52
  4. Step 4: Simplify right side
    211,571.76x = 31,987,143,928.02
  5. Step 5: Solve for x
    x = 31,987,143,928.02/211,571.76
  6. Step 6: Final answer
    x = 151,188.15

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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.