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Finding the Fourth Proportional to 217,712.94, 326,485.44 and 84,575.70

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Solution

The fourth proportional to 217,712.94, 326,485.44 and 84,575.70 is: 126,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,712.94 : 326,485.44 = 84,575.70 : x
  2. Step 2: Convert to fraction form
    217,712.94/326,485.44 = 84,575.70/x
  3. Step 3: Cross multiply
    217,712.94x = 326,485.44 × 84,575.70
  4. Step 4: Simplify right side
    217,712.94x = 27,612,734,627.81
  5. Step 5: Solve for x
    x = 27,612,734,627.81/217,712.94
  6. Step 6: Final answer
    x = 126,830.93

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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.