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Finding the Fourth Proportional to 70,768.92, 106,159.16 and 20,171.84

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Solution

The fourth proportional to 70,768.92, 106,159.16 and 20,171.84 is: 30,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,768.92 : 106,159.16 = 20,171.84 : x
  2. Step 2: Convert to fraction form
    70,768.92/106,159.16 = 20,171.84/x
  3. Step 3: Cross multiply
    70,768.92x = 106,159.16 × 20,171.84
  4. Step 4: Simplify right side
    70,768.92x = 2,141,425,905.88
  5. Step 5: Solve for x
    x = 2,141,425,905.88/70,768.92
  6. Step 6: Final answer
    x = 30,259.41

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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.