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Finding the Fourth Proportional to 164,588.70, 246,891.15 and 85,856.70

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Solution

The fourth proportional to 164,588.70, 246,891.15 and 85,856.70 is: 128,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,588.70 : 246,891.15 = 85,856.70 : x
  2. Step 2: Convert to fraction form
    164,588.70/246,891.15 = 85,856.70/x
  3. Step 3: Cross multiply
    164,588.70x = 246,891.15 × 85,856.70
  4. Step 4: Simplify right side
    164,588.70x = 21,197,259,398.21
  5. Step 5: Solve for x
    x = 21,197,259,398.21/164,588.70
  6. Step 6: Final answer
    x = 128,789.28

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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.