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Finding the Fourth Proportional to 213,958.64, 295,256.16 and 123,314.96

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Solution

The fourth proportional to 213,958.64, 295,256.16 and 123,314.96 is: 170,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958.64 : 295,256.16 = 123,314.96 : x
  2. Step 2: Convert to fraction form
    213,958.64/295,256.16 = 123,314.96/x
  3. Step 3: Cross multiply
    213,958.64x = 295,256.16 × 123,314.96
  4. Step 4: Simplify right side
    213,958.64x = 36,409,501,560.15
  5. Step 5: Solve for x
    x = 36,409,501,560.15/213,958.64
  6. Step 6: Final answer
    x = 170,170.75

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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.