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Finding the Fourth Proportional to 126,599.64, 189,648.98 and 102,933.60

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Solution

The fourth proportional to 126,599.64, 189,648.98 and 102,933.60 is: 154,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,599.64 : 189,648.98 = 102,933.60 : x
  2. Step 2: Convert to fraction form
    126,599.64/189,648.98 = 102,933.60/x
  3. Step 3: Cross multiply
    126,599.64x = 189,648.98 × 102,933.60
  4. Step 4: Simplify right side
    126,599.64x = 19,521,252,247.73
  5. Step 5: Solve for x
    x = 19,521,252,247.73/126,599.64
  6. Step 6: Final answer
    x = 154,196.74

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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.