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Finding the Fourth Proportional to 53,791, 74,231.58 and 31,435

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Solution

The fourth proportional to 53,791, 74,231.58 and 31,435 is: 43,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,791 : 74,231.58 = 31,435 : x
  2. Step 2: Convert to fraction form
    53,791/74,231.58 = 31,435/x
  3. Step 3: Cross multiply
    53,791x = 74,231.58 × 31,435
  4. Step 4: Simplify right side
    53,791x = 2,333,469,717.30
  5. Step 5: Solve for x
    x = 2,333,469,717.30/53,791
  6. Step 6: Final answer
    x = 43,380.30

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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.