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Finding the Fourth Proportional to 213,958.53, 294,994.78 and 137,342.45

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Solution

The fourth proportional to 213,958.53, 294,994.78 and 137,342.45 is: 189,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958.53 : 294,994.78 = 137,342.45 : x
  2. Step 2: Convert to fraction form
    213,958.53/294,994.78 = 137,342.45/x
  3. Step 3: Cross multiply
    213,958.53x = 294,994.78 × 137,342.45
  4. Step 4: Simplify right side
    213,958.53x = 40,515,306,216.54
  5. Step 5: Solve for x
    x = 40,515,306,216.54/213,958.53
  6. Step 6: Final answer
    x = 189,360.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.