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Finding the Fourth Proportional to 109,580.96, 164,122.30 and 85,739.92

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Solution

The fourth proportional to 109,580.96, 164,122.30 and 85,739.92 is: 128,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,580.96 : 164,122.30 = 85,739.92 : x
  2. Step 2: Convert to fraction form
    109,580.96/164,122.30 = 85,739.92/x
  3. Step 3: Cross multiply
    109,580.96x = 164,122.30 × 85,739.92
  4. Step 4: Simplify right side
    109,580.96x = 14,071,832,872.22
  5. Step 5: Solve for x
    x = 14,071,832,872.22/109,580.96
  6. Step 6: Final answer
    x = 128,414.94

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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.