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Finding the Fourth Proportional to 135,890, 203,709.26 and 51,624.90

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Solution

The fourth proportional to 135,890, 203,709.26 and 51,624.90 is: 77,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,890 : 203,709.26 = 51,624.90 : x
  2. Step 2: Convert to fraction form
    135,890/203,709.26 = 51,624.90/x
  3. Step 3: Cross multiply
    135,890x = 203,709.26 × 51,624.90
  4. Step 4: Simplify right side
    135,890x = 10,516,470,176.57
  5. Step 5: Solve for x
    x = 10,516,470,176.57/135,890
  6. Step 6: Final answer
    x = 77,389.58

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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.