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Finding the Fourth Proportional to 70,865.28, 106,237.58 and 31,400.87

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Solution

The fourth proportional to 70,865.28, 106,237.58 and 31,400.87 is: 47,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,865.28 : 106,237.58 = 31,400.87 : x
  2. Step 2: Convert to fraction form
    70,865.28/106,237.58 = 31,400.87/x
  3. Step 3: Cross multiply
    70,865.28x = 106,237.58 × 31,400.87
  4. Step 4: Simplify right side
    70,865.28x = 3,335,951,750.50
  5. Step 5: Solve for x
    x = 3,335,951,750.50/70,865.28
  6. Step 6: Final answer
    x = 47,074.56

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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.