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Finding the Fourth Proportional to 84,483.84, 126,724.32 and 25,318.56

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Solution

The fourth proportional to 84,483.84, 126,724.32 and 25,318.56 is: 37,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,483.84 : 126,724.32 = 25,318.56 : x
  2. Step 2: Convert to fraction form
    84,483.84/126,724.32 = 25,318.56/x
  3. Step 3: Cross multiply
    84,483.84x = 126,724.32 × 25,318.56
  4. Step 4: Simplify right side
    84,483.84x = 3,208,477,299.38
  5. Step 5: Solve for x
    x = 3,208,477,299.38/84,483.84
  6. Step 6: Final answer
    x = 37,977.41

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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.