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Finding the Fourth Proportional to 71,761.40, 107,622.90 and 25,009.40

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Solution

The fourth proportional to 71,761.40, 107,622.90 and 25,009.40 is: 37,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,761.40 : 107,622.90 = 25,009.40 : x
  2. Step 2: Convert to fraction form
    71,761.40/107,622.90 = 25,009.40/x
  3. Step 3: Cross multiply
    71,761.40x = 107,622.90 × 25,009.40
  4. Step 4: Simplify right side
    71,761.40x = 2,691,584,155.26
  5. Step 5: Solve for x
    x = 2,691,584,155.26/71,761.40
  6. Step 6: Final answer
    x = 37,507.41

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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.