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Finding the Fourth Proportional to 211,097.71, 316,644.51 and 91,239.43

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Solution

The fourth proportional to 211,097.71, 316,644.51 and 91,239.43 is: 136,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,097.71 : 316,644.51 = 91,239.43 : x
  2. Step 2: Convert to fraction form
    211,097.71/316,644.51 = 91,239.43/x
  3. Step 3: Cross multiply
    211,097.71x = 316,644.51 × 91,239.43
  4. Step 4: Simplify right side
    211,097.71x = 28,890,464,605.03
  5. Step 5: Solve for x
    x = 28,890,464,605.03/211,097.71
  6. Step 6: Final answer
    x = 136,858.26

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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.