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Finding the Fourth Proportional to 71,712.11, 107,109.39 and 64,947.60

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Solution

The fourth proportional to 71,712.11, 107,109.39 and 64,947.60 is: 97,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,712.11 : 107,109.39 = 64,947.60 : x
  2. Step 2: Convert to fraction form
    71,712.11/107,109.39 = 64,947.60/x
  3. Step 3: Cross multiply
    71,712.11x = 107,109.39 × 64,947.60
  4. Step 4: Simplify right side
    71,712.11x = 6,956,497,817.96
  5. Step 5: Solve for x
    x = 6,956,497,817.96/71,712.11
  6. Step 6: Final answer
    x = 97,005.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.