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Finding the Fourth Proportional to 113,450, 170,176.44 and 39,578

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Solution

The fourth proportional to 113,450, 170,176.44 and 39,578 is: 59,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,450 : 170,176.44 = 39,578 : x
  2. Step 2: Convert to fraction form
    113,450/170,176.44 = 39,578/x
  3. Step 3: Cross multiply
    113,450x = 170,176.44 × 39,578
  4. Step 4: Simplify right side
    113,450x = 6,735,243,142.32
  5. Step 5: Solve for x
    x = 6,735,243,142.32/113,450
  6. Step 6: Final answer
    x = 59,367.50

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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.