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Finding the Fourth Proportional to 109,978.56, 164,967.78 and 39,857.76

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Solution

The fourth proportional to 109,978.56, 164,967.78 and 39,857.76 is: 59,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,978.56 : 164,967.78 = 39,857.76 : x
  2. Step 2: Convert to fraction form
    109,978.56/164,967.78 = 39,857.76/x
  3. Step 3: Cross multiply
    109,978.56x = 164,967.78 × 39,857.76
  4. Step 4: Simplify right side
    109,978.56x = 6,575,246,182.97
  5. Step 5: Solve for x
    x = 6,575,246,182.97/109,978.56
  6. Step 6: Final answer
    x = 59,786.62

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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.