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Finding the Fourth Proportional to 109,491.80, 164,243.10 and 57,003.80

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Solution

The fourth proportional to 109,491.80, 164,243.10 and 57,003.80 is: 85,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,491.80 : 164,243.10 = 57,003.80 : x
  2. Step 2: Convert to fraction form
    109,491.80/164,243.10 = 57,003.80/x
  3. Step 3: Cross multiply
    109,491.80x = 164,243.10 × 57,003.80
  4. Step 4: Simplify right side
    109,491.80x = 9,362,480,823.78
  5. Step 5: Solve for x
    x = 9,362,480,823.78/109,491.80
  6. Step 6: Final answer
    x = 85,508.51

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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.