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Finding the Fourth Proportional to 217,686.30, 326,403.74 and 84,410.87

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Solution

The fourth proportional to 217,686.30, 326,403.74 and 84,410.87 is: 126,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,686.30 : 326,403.74 = 84,410.87 : x
  2. Step 2: Convert to fraction form
    217,686.30/326,403.74 = 84,410.87/x
  3. Step 3: Cross multiply
    217,686.30x = 326,403.74 × 84,410.87
  4. Step 4: Simplify right side
    217,686.30x = 27,552,021,610.58
  5. Step 5: Solve for x
    x = 27,552,021,610.58/217,686.30
  6. Step 6: Final answer
    x = 126,567.55

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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.