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Finding the Fourth Proportional to 217,653.16, 326,442.78 and 99,296.68

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Solution

The fourth proportional to 217,653.16, 326,442.78 and 99,296.68 is: 148,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,653.16 : 326,442.78 = 99,296.68 : x
  2. Step 2: Convert to fraction form
    217,653.16/326,442.78 = 99,296.68/x
  3. Step 3: Cross multiply
    217,653.16x = 326,442.78 × 99,296.68
  4. Step 4: Simplify right side
    217,653.16x = 32,414,684,263.97
  5. Step 5: Solve for x
    x = 32,414,684,263.97/217,653.16
  6. Step 6: Final answer
    x = 148,928.16

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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.