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Finding the Fourth Proportional to 147,813.50, 221,662.74 and 47,949.56

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Solution

The fourth proportional to 147,813.50, 221,662.74 and 47,949.56 is: 71,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,813.50 : 221,662.74 = 47,949.56 : x
  2. Step 2: Convert to fraction form
    147,813.50/221,662.74 = 47,949.56/x
  3. Step 3: Cross multiply
    147,813.50x = 221,662.74 × 47,949.56
  4. Step 4: Simplify right side
    147,813.50x = 10,628,630,851.39
  5. Step 5: Solve for x
    x = 10,628,630,851.39/147,813.50
  6. Step 6: Final answer
    x = 71,905.68

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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.