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Finding the Fourth Proportional to 109,755.64, 164,858.46 and 72,369.64

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Solution

The fourth proportional to 109,755.64, 164,858.46 and 72,369.64 is: 108,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,755.64 : 164,858.46 = 72,369.64 : x
  2. Step 2: Convert to fraction form
    109,755.64/164,858.46 = 72,369.64/x
  3. Step 3: Cross multiply
    109,755.64x = 164,858.46 × 72,369.64
  4. Step 4: Simplify right side
    109,755.64x = 11,930,747,401.15
  5. Step 5: Solve for x
    x = 11,930,747,401.15/109,755.64
  6. Step 6: Final answer
    x = 108,702.82

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1.5x scale

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.