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Finding the Fourth Proportional to 77,493.28, 116,224.60 and 21,318.96

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Solution

The fourth proportional to 77,493.28, 116,224.60 and 21,318.96 is: 31,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,493.28 : 116,224.60 = 21,318.96 : x
  2. Step 2: Convert to fraction form
    77,493.28/116,224.60 = 21,318.96/x
  3. Step 3: Cross multiply
    77,493.28x = 116,224.60 × 21,318.96
  4. Step 4: Simplify right side
    77,493.28x = 2,477,787,598.42
  5. Step 5: Solve for x
    x = 2,477,787,598.42/77,493.28
  6. Step 6: Final answer
    x = 31,974.23

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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.