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Finding the Fourth Proportional to 211,706.39, 317,648.39 and 131,811.23

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Solution

The fourth proportional to 211,706.39, 317,648.39 and 131,811.23 is: 197,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,706.39 : 317,648.39 = 131,811.23 : x
  2. Step 2: Convert to fraction form
    211,706.39/317,648.39 = 131,811.23/x
  3. Step 3: Cross multiply
    211,706.39x = 317,648.39 × 131,811.23
  4. Step 4: Simplify right side
    211,706.39x = 41,869,625,128.48
  5. Step 5: Solve for x
    x = 41,869,625,128.48/211,706.39
  6. Step 6: Final answer
    x = 197,772.13

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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.