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Finding the Fourth Proportional to 197,212.40, 295,478.40 and 91,815.20

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Solution

The fourth proportional to 197,212.40, 295,478.40 and 91,815.20 is: 137,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,212.40 : 295,478.40 = 91,815.20 : x
  2. Step 2: Convert to fraction form
    197,212.40/295,478.40 = 91,815.20/x
  3. Step 3: Cross multiply
    197,212.40x = 295,478.40 × 91,815.20
  4. Step 4: Simplify right side
    197,212.40x = 27,129,408,391.68
  5. Step 5: Solve for x
    x = 27,129,408,391.68/197,212.40
  6. Step 6: Final answer
    x = 137,564.41

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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.