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Finding the Fourth Proportional to 200,865.72, 301,088.22 and 67,699.92

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Solution

The fourth proportional to 200,865.72, 301,088.22 and 67,699.92 is: 101,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,865.72 : 301,088.22 = 67,699.92 : x
  2. Step 2: Convert to fraction form
    200,865.72/301,088.22 = 67,699.92/x
  3. Step 3: Cross multiply
    200,865.72x = 301,088.22 × 67,699.92
  4. Step 4: Simplify right side
    200,865.72x = 20,383,648,406.94
  5. Step 5: Solve for x
    x = 20,383,648,406.94/200,865.72
  6. Step 6: Final answer
    x = 101,478.98

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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.