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Finding the Fourth Proportional to 215,678.84, 323,518.26 and 65,919.56

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Solution

The fourth proportional to 215,678.84, 323,518.26 and 65,919.56 is: 98,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,678.84 : 323,518.26 = 65,919.56 : x
  2. Step 2: Convert to fraction form
    215,678.84/323,518.26 = 65,919.56/x
  3. Step 3: Cross multiply
    215,678.84x = 323,518.26 × 65,919.56
  4. Step 4: Simplify right side
    215,678.84x = 21,326,181,351.17
  5. Step 5: Solve for x
    x = 21,326,181,351.17/215,678.84
  6. Step 6: Final answer
    x = 98,879.34

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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.