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Finding the Fourth Proportional to 211,894.34, 317,839.57 and 85,445.04

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Solution

The fourth proportional to 211,894.34, 317,839.57 and 85,445.04 is: 128,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,894.34 : 317,839.57 = 85,445.04 : x
  2. Step 2: Convert to fraction form
    211,894.34/317,839.57 = 85,445.04/x
  3. Step 3: Cross multiply
    211,894.34x = 317,839.57 × 85,445.04
  4. Step 4: Simplify right side
    211,894.34x = 27,157,814,772.23
  5. Step 5: Solve for x
    x = 27,157,814,772.23/211,894.34
  6. Step 6: Final answer
    x = 128,166.78

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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.