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Finding the Fourth Proportional to 217,898.10, 326,847.15 and 77,606.10

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Solution

The fourth proportional to 217,898.10, 326,847.15 and 77,606.10 is: 116,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,898.10 : 326,847.15 = 77,606.10 : x
  2. Step 2: Convert to fraction form
    217,898.10/326,847.15 = 77,606.10/x
  3. Step 3: Cross multiply
    217,898.10x = 326,847.15 × 77,606.10
  4. Step 4: Simplify right side
    217,898.10x = 25,365,332,607.62
  5. Step 5: Solve for x
    x = 25,365,332,607.62/217,898.10
  6. Step 6: Final answer
    x = 116,409.15

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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.