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Finding the Fourth Proportional to 211,165.68, 316,012.19 and 172,771.22

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Solution

The fourth proportional to 211,165.68, 316,012.19 and 172,771.22 is: 258,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,165.68 : 316,012.19 = 172,771.22 : x
  2. Step 2: Convert to fraction form
    211,165.68/316,012.19 = 172,771.22/x
  3. Step 3: Cross multiply
    211,165.68x = 316,012.19 × 172,771.22
  4. Step 4: Simplify right side
    211,165.68x = 54,597,811,601.17
  5. Step 5: Solve for x
    x = 54,597,811,601.17/211,165.68
  6. Step 6: Final answer
    x = 258,554.38

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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.