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Finding the Fourth Proportional to 100,558.70, 150,870.86 and 47,961.35

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Solution

The fourth proportional to 100,558.70, 150,870.86 and 47,961.35 is: 71,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,558.70 : 150,870.86 = 47,961.35 : x
  2. Step 2: Convert to fraction form
    100,558.70/150,870.86 = 47,961.35/x
  3. Step 3: Cross multiply
    100,558.70x = 150,870.86 × 47,961.35
  4. Step 4: Simplify right side
    100,558.70x = 7,235,970,121.26
  5. Step 5: Solve for x
    x = 7,235,970,121.26/100,558.70
  6. Step 6: Final answer
    x = 71,957.67

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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.