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Finding the Fourth Proportional to 51,531, 71,112.79 and 29,175

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Solution

The fourth proportional to 51,531, 71,112.79 and 29,175 is: 40,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531 : 71,112.79 = 29,175 : x
  2. Step 2: Convert to fraction form
    51,531/71,112.79 = 29,175/x
  3. Step 3: Cross multiply
    51,531x = 71,112.79 × 29,175
  4. Step 4: Simplify right side
    51,531x = 2,074,715,575.31
  5. Step 5: Solve for x
    x = 2,074,715,575.31/51,531
  6. Step 6: Final answer
    x = 40,261.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.