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Finding the Fourth Proportional to 109,755.14, 164,857.71 and 72,369.14

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Solution

The fourth proportional to 109,755.14, 164,857.71 and 72,369.14 is: 108,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,755.14 : 164,857.71 = 72,369.14 : x
  2. Step 2: Convert to fraction form
    109,755.14/164,857.71 = 72,369.14/x
  3. Step 3: Cross multiply
    109,755.14x = 164,857.71 × 72,369.14
  4. Step 4: Simplify right side
    109,755.14x = 11,930,610,695.07
  5. Step 5: Solve for x
    x = 11,930,610,695.07/109,755.14
  6. Step 6: Final answer
    x = 108,702.07

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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.