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Finding the Fourth Proportional to 197,297.28, 295,916.64 and 72,609.12

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Solution

The fourth proportional to 197,297.28, 295,916.64 and 72,609.12 is: 108,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,297.28 : 295,916.64 = 72,609.12 : x
  2. Step 2: Convert to fraction form
    197,297.28/295,916.64 = 72,609.12/x
  3. Step 3: Cross multiply
    197,297.28x = 295,916.64 × 72,609.12
  4. Step 4: Simplify right side
    197,297.28x = 21,486,246,823.76
  5. Step 5: Solve for x
    x = 21,486,246,823.76/197,297.28
  6. Step 6: Final answer
    x = 108,902.90

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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.