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Finding the Fourth Proportional to 109,659.70, 164,489.55 and 47,330.20

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Solution

The fourth proportional to 109,659.70, 164,489.55 and 47,330.20 is: 70,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659.70 : 164,489.55 = 47,330.20 : x
  2. Step 2: Convert to fraction form
    109,659.70/164,489.55 = 47,330.20/x
  3. Step 3: Cross multiply
    109,659.70x = 164,489.55 × 47,330.20
  4. Step 4: Simplify right side
    109,659.70x = 7,785,323,299.41
  5. Step 5: Solve for x
    x = 7,785,323,299.41/109,659.70
  6. Step 6: Final answer
    x = 70,995.30

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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.