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Finding the Fourth Proportional to 70,971.53, 106,457.31 and 28,874.52

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Solution

The fourth proportional to 70,971.53, 106,457.31 and 28,874.52 is: 43,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.53 : 106,457.31 = 28,874.52 : x
  2. Step 2: Convert to fraction form
    70,971.53/106,457.31 = 28,874.52/x
  3. Step 3: Cross multiply
    70,971.53x = 106,457.31 × 28,874.52
  4. Step 4: Simplify right side
    70,971.53x = 3,073,903,726.74
  5. Step 5: Solve for x
    x = 3,073,903,726.74/70,971.53
  6. Step 6: Final answer
    x = 43,311.79

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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.