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Finding the Fourth Proportional to 211,810.88, 317,645.80 and 85,418.48

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Solution

The fourth proportional to 211,810.88, 317,645.80 and 85,418.48 is: 128,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,810.88 : 317,645.80 = 85,418.48 : x
  2. Step 2: Convert to fraction form
    211,810.88/317,645.80 = 85,418.48/x
  3. Step 3: Cross multiply
    211,810.88x = 317,645.80 × 85,418.48
  4. Step 4: Simplify right side
    211,810.88x = 27,132,821,414.38
  5. Step 5: Solve for x
    x = 27,132,821,414.38/211,810.88
  6. Step 6: Final answer
    x = 128,099.28

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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.