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Finding the Fourth Proportional to 189,860, 262,007.24 and 103,824.56

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Solution

The fourth proportional to 189,860, 262,007.24 and 103,824.56 is: 143,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,860 : 262,007.24 = 103,824.56 : x
  2. Step 2: Convert to fraction form
    189,860/262,007.24 = 103,824.56/x
  3. Step 3: Cross multiply
    189,860x = 262,007.24 × 103,824.56
  4. Step 4: Simplify right side
    189,860x = 27,202,786,409.81
  5. Step 5: Solve for x
    x = 27,202,786,409.81/189,860
  6. Step 6: Final answer
    x = 143,278.13

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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.