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Finding the Fourth Proportional to 70,138.32, 96,786.96 and 39,931

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Solution

The fourth proportional to 70,138.32, 96,786.96 and 39,931 is: 55,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.32 : 96,786.96 = 39,931 : x
  2. Step 2: Convert to fraction form
    70,138.32/96,786.96 = 39,931/x
  3. Step 3: Cross multiply
    70,138.32x = 96,786.96 × 39,931
  4. Step 4: Simplify right side
    70,138.32x = 3,864,800,099.76
  5. Step 5: Solve for x
    x = 3,864,800,099.76/70,138.32
  6. Step 6: Final answer
    x = 55,102.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.