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Finding the Fourth Proportional to 109,785.54, 164,717.82 and 43,188.78

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Solution

The fourth proportional to 109,785.54, 164,717.82 and 43,188.78 is: 64,798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,785.54 : 164,717.82 = 43,188.78 : x
  2. Step 2: Convert to fraction form
    109,785.54/164,717.82 = 43,188.78/x
  3. Step 3: Cross multiply
    109,785.54x = 164,717.82 × 43,188.78
  4. Step 4: Simplify right side
    109,785.54x = 7,113,961,690.06
  5. Step 5: Solve for x
    x = 7,113,961,690.06/109,785.54
  6. Step 6: Final answer
    x = 64,798.71

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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.