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Finding the Fourth Proportional to 70,845.82, 106,195.83 and 31,421.50

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Solution

The fourth proportional to 70,845.82, 106,195.83 and 31,421.50 is: 47,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,845.82 : 106,195.83 = 31,421.50 : x
  2. Step 2: Convert to fraction form
    70,845.82/106,195.83 = 31,421.50/x
  3. Step 3: Cross multiply
    70,845.82x = 106,195.83 × 31,421.50
  4. Step 4: Simplify right side
    70,845.82x = 3,336,832,272.35
  5. Step 5: Solve for x
    x = 3,336,832,272.35/70,845.82
  6. Step 6: Final answer
    x = 47,099.92

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1.5x scale

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.