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Finding the Fourth Proportional to 211,593.89, 317,445.51 and 78,512.10

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Solution

The fourth proportional to 211,593.89, 317,445.51 and 78,512.10 is: 117,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,593.89 : 317,445.51 = 78,512.10 : x
  2. Step 2: Convert to fraction form
    211,593.89/317,445.51 = 78,512.10/x
  3. Step 3: Cross multiply
    211,593.89x = 317,445.51 × 78,512.10
  4. Step 4: Simplify right side
    211,593.89x = 24,923,313,625.67
  5. Step 5: Solve for x
    x = 24,923,313,625.67/211,593.89
  6. Step 6: Final answer
    x = 117,788.44

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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.