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Finding the Fourth Proportional to 213,912.64, 295,069.98 and 137,405.68

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Solution

The fourth proportional to 213,912.64, 295,069.98 and 137,405.68 is: 189,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,912.64 : 295,069.98 = 137,405.68 : x
  2. Step 2: Convert to fraction form
    213,912.64/295,069.98 = 137,405.68/x
  3. Step 3: Cross multiply
    213,912.64x = 295,069.98 × 137,405.68
  4. Step 4: Simplify right side
    213,912.64x = 40,544,291,249.49
  5. Step 5: Solve for x
    x = 40,544,291,249.49/213,912.64
  6. Step 6: Final answer
    x = 189,536.68

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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.