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Finding the Fourth Proportional to 188,894.56, 260,677.74 and 102,856

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Solution

The fourth proportional to 188,894.56, 260,677.74 and 102,856 is: 141,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,894.56 : 260,677.74 = 102,856 : x
  2. Step 2: Convert to fraction form
    188,894.56/260,677.74 = 102,856/x
  3. Step 3: Cross multiply
    188,894.56x = 260,677.74 × 102,856
  4. Step 4: Simplify right side
    188,894.56x = 26,812,269,625.44
  5. Step 5: Solve for x
    x = 26,812,269,625.44/188,894.56
  6. Step 6: Final answer
    x = 141,943.05

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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.