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Finding the Fourth Proportional to 211,755.40, 317,114.70 and 100,817.80

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Solution

The fourth proportional to 211,755.40, 317,114.70 and 100,817.80 is: 150,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,755.40 : 317,114.70 = 100,817.80 : x
  2. Step 2: Convert to fraction form
    211,755.40/317,114.70 = 100,817.80/x
  3. Step 3: Cross multiply
    211,755.40x = 317,114.70 × 100,817.80
  4. Step 4: Simplify right side
    211,755.40x = 31,970,806,401.66
  5. Step 5: Solve for x
    x = 31,970,806,401.66/211,755.40
  6. Step 6: Final answer
    x = 150,979.89

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1.5x scale

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.