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Finding the Fourth Proportional to 109,748.60, 164,622.90 and 65,425.40

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Solution

The fourth proportional to 109,748.60, 164,622.90 and 65,425.40 is: 98,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,748.60 : 164,622.90 = 65,425.40 : x
  2. Step 2: Convert to fraction form
    109,748.60/164,622.90 = 65,425.40/x
  3. Step 3: Cross multiply
    109,748.60x = 164,622.90 × 65,425.40
  4. Step 4: Simplify right side
    109,748.60x = 10,770,519,081.66
  5. Step 5: Solve for x
    x = 10,770,519,081.66/109,748.60
  6. Step 6: Final answer
    x = 98,138.10

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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.