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Finding the Fourth Proportional to 201,218.62, 301,826.85 and 51,458.67

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Solution

The fourth proportional to 201,218.62, 301,826.85 and 51,458.67 is: 77,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218.62 : 301,826.85 = 51,458.67 : x
  2. Step 2: Convert to fraction form
    201,218.62/301,826.85 = 51,458.67/x
  3. Step 3: Cross multiply
    201,218.62x = 301,826.85 × 51,458.67
  4. Step 4: Simplify right side
    201,218.62x = 15,531,608,271.29
  5. Step 5: Solve for x
    x = 15,531,608,271.29/201,218.62
  6. Step 6: Final answer
    x = 77,187.73

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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.