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Finding the Fourth Proportional to 71,905.76, 107,858.64 and 71,801.92

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Solution

The fourth proportional to 71,905.76, 107,858.64 and 71,801.92 is: 107,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,905.76 : 107,858.64 = 71,801.92 : x
  2. Step 2: Convert to fraction form
    71,905.76/107,858.64 = 71,801.92/x
  3. Step 3: Cross multiply
    71,905.76x = 107,858.64 × 71,801.92
  4. Step 4: Simplify right side
    71,905.76x = 7,744,457,440.59
  5. Step 5: Solve for x
    x = 7,744,457,440.59/71,905.76
  6. Step 6: Final answer
    x = 107,702.88

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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.