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Finding the Fourth Proportional to 71,840.22, 107,710.32 and 31,837.50

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Solution

The fourth proportional to 71,840.22, 107,710.32 and 31,837.50 is: 47,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840.22 : 107,710.32 = 31,837.50 : x
  2. Step 2: Convert to fraction form
    71,840.22/107,710.32 = 31,837.50/x
  3. Step 3: Cross multiply
    71,840.22x = 107,710.32 × 31,837.50
  4. Step 4: Simplify right side
    71,840.22x = 3,429,227,313
  5. Step 5: Solve for x
    x = 3,429,227,313/71,840.22
  6. Step 6: Final answer
    x = 47,734.09

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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.