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Finding the Fourth Proportional to 109,755, 164,422.14 and 65,247

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Solution

The fourth proportional to 109,755, 164,422.14 and 65,247 is: 97,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,755 : 164,422.14 = 65,247 : x
  2. Step 2: Convert to fraction form
    109,755/164,422.14 = 65,247/x
  3. Step 3: Cross multiply
    109,755x = 164,422.14 × 65,247
  4. Step 4: Simplify right side
    109,755x = 10,728,051,368.58
  5. Step 5: Solve for x
    x = 10,728,051,368.58/109,755
  6. Step 6: Final answer
    x = 97,745.45

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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.