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Finding the Fourth Proportional to 217,406.51, 326,111.50 and 89,289.78

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Solution

The fourth proportional to 217,406.51, 326,111.50 and 89,289.78 is: 133,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,406.51 : 326,111.50 = 89,289.78 : x
  2. Step 2: Convert to fraction form
    217,406.51/326,111.50 = 89,289.78/x
  3. Step 3: Cross multiply
    217,406.51x = 326,111.50 × 89,289.78
  4. Step 4: Simplify right side
    217,406.51x = 29,118,425,730.73
  5. Step 5: Solve for x
    x = 29,118,425,730.73/217,406.51
  6. Step 6: Final answer
    x = 133,935.39

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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.