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Finding the Fourth Proportional to 109,672.70, 164,509.05 and 68,200.70

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Solution

The fourth proportional to 109,672.70, 164,509.05 and 68,200.70 is: 102,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,672.70 : 164,509.05 = 68,200.70 : x
  2. Step 2: Convert to fraction form
    109,672.70/164,509.05 = 68,200.70/x
  3. Step 3: Cross multiply
    109,672.70x = 164,509.05 × 68,200.70
  4. Step 4: Simplify right side
    109,672.70x = 11,219,632,366.34
  5. Step 5: Solve for x
    x = 11,219,632,366.34/109,672.70
  6. Step 6: Final answer
    x = 102,301.05

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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.