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Finding the Fourth Proportional to 217,370, 326,084.16 and 92,740.16

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Solution

The fourth proportional to 217,370, 326,084.16 and 92,740.16 is: 139,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,370 : 326,084.16 = 92,740.16 : x
  2. Step 2: Convert to fraction form
    217,370/326,084.16 = 92,740.16/x
  3. Step 3: Cross multiply
    217,370x = 326,084.16 × 92,740.16
  4. Step 4: Simplify right side
    217,370x = 30,241,097,171.87
  5. Step 5: Solve for x
    x = 30,241,097,171.87/217,370
  6. Step 6: Final answer
    x = 139,122.68

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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.