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Finding the Fourth Proportional to 194,249.69, 290,826.71 and 102,858

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Solution

The fourth proportional to 194,249.69, 290,826.71 and 102,858 is: 153,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,249.69 : 290,826.71 = 102,858 : x
  2. Step 2: Convert to fraction form
    194,249.69/290,826.71 = 102,858/x
  3. Step 3: Cross multiply
    194,249.69x = 290,826.71 × 102,858
  4. Step 4: Simplify right side
    194,249.69x = 29,913,853,737.18
  5. Step 5: Solve for x
    x = 29,913,853,737.18/194,249.69
  6. Step 6: Final answer
    x = 153,996.92

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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.