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Finding the Fourth Proportional to 188,889.56, 260,670.84 and 102,851

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Solution

The fourth proportional to 188,889.56, 260,670.84 and 102,851 is: 141,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,889.56 : 260,670.84 = 102,851 : x
  2. Step 2: Convert to fraction form
    188,889.56/260,670.84 = 102,851/x
  3. Step 3: Cross multiply
    188,889.56x = 260,670.84 × 102,851
  4. Step 4: Simplify right side
    188,889.56x = 26,810,256,564.84
  5. Step 5: Solve for x
    x = 26,810,256,564.84/188,889.56
  6. Step 6: Final answer
    x = 141,936.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.