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Finding the Fourth Proportional to 70,971.44, 106,457.64 and 31,517.84

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Solution

The fourth proportional to 70,971.44, 106,457.64 and 31,517.84 is: 47,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.44 : 106,457.64 = 31,517.84 : x
  2. Step 2: Convert to fraction form
    70,971.44/106,457.64 = 31,517.84/x
  3. Step 3: Cross multiply
    70,971.44x = 106,457.64 × 31,517.84
  4. Step 4: Simplify right side
    70,971.44x = 3,355,314,864.30
  5. Step 5: Solve for x
    x = 3,355,314,864.30/70,971.44
  6. Step 6: Final answer
    x = 47,276.97

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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.