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Finding the Fourth Proportional to 201,761.30, 302,569.05 and 81,767.90

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Solution

The fourth proportional to 201,761.30, 302,569.05 and 81,767.90 is: 122,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,761.30 : 302,569.05 = 81,767.90 : x
  2. Step 2: Convert to fraction form
    201,761.30/302,569.05 = 81,767.90/x
  3. Step 3: Cross multiply
    201,761.30x = 302,569.05 × 81,767.90
  4. Step 4: Simplify right side
    201,761.30x = 24,740,435,823.50
  5. Step 5: Solve for x
    x = 24,740,435,823.50/201,761.30
  6. Step 6: Final answer
    x = 122,622.31

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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.