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Finding the Fourth Proportional to 109,405.70, 164,108.55 and 93,659.30

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Solution

The fourth proportional to 109,405.70, 164,108.55 and 93,659.30 is: 140,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,405.70 : 164,108.55 = 93,659.30 : x
  2. Step 2: Convert to fraction form
    109,405.70/164,108.55 = 93,659.30/x
  3. Step 3: Cross multiply
    109,405.70x = 164,108.55 × 93,659.30
  4. Step 4: Simplify right side
    109,405.70x = 15,370,291,917.02
  5. Step 5: Solve for x
    x = 15,370,291,917.02/109,405.70
  6. Step 6: Final answer
    x = 140,488.95

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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.