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Finding the Fourth Proportional to 211,294.89, 316,943.96 and 71,051.49

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Solution

The fourth proportional to 211,294.89, 316,943.96 and 71,051.49 is: 106,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,294.89 : 316,943.96 = 71,051.49 : x
  2. Step 2: Convert to fraction form
    211,294.89/316,943.96 = 71,051.49/x
  3. Step 3: Cross multiply
    211,294.89x = 316,943.96 × 71,051.49
  4. Step 4: Simplify right side
    211,294.89x = 22,519,340,249.24
  5. Step 5: Solve for x
    x = 22,519,340,249.24/211,294.89
  6. Step 6: Final answer
    x = 106,577.78

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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.