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Finding the Fourth Proportional to 70,838.67, 106,241.00 and 20,905.28

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Solution

The fourth proportional to 70,838.67, 106,241.00 and 20,905.28 is: 31,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,838.67 : 106,241.00 = 20,905.28 : x
  2. Step 2: Convert to fraction form
    70,838.67/106,241.00 = 20,905.28/x
  3. Step 3: Cross multiply
    70,838.67x = 106,241.00 × 20,905.28
  4. Step 4: Simplify right side
    70,838.67x = 2,220,997,216.75
  5. Step 5: Solve for x
    x = 2,220,997,216.75/70,838.67
  6. Step 6: Final answer
    x = 31,352.89

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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.