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Finding the Fourth Proportional to 201,231.57, 301,890.92 and 61,000.77

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Solution

The fourth proportional to 201,231.57, 301,890.92 and 61,000.77 is: 91,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.57 : 301,890.92 = 61,000.77 : x
  2. Step 2: Convert to fraction form
    201,231.57/301,890.92 = 61,000.77/x
  3. Step 3: Cross multiply
    201,231.57x = 301,890.92 × 61,000.77
  4. Step 4: Simplify right side
    201,231.57x = 18,415,578,271.00
  5. Step 5: Solve for x
    x = 18,415,578,271.00/201,231.57
  6. Step 6: Final answer
    x = 91,514.36

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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.