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Finding the Fourth Proportional to 132,030.10, 197,717.10 and 105,786.10

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Solution

The fourth proportional to 132,030.10, 197,717.10 and 105,786.10 is: 158,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030.10 : 197,717.10 = 105,786.10 : x
  2. Step 2: Convert to fraction form
    132,030.10/197,717.10 = 105,786.10/x
  3. Step 3: Cross multiply
    132,030.10x = 197,717.10 × 105,786.10
  4. Step 4: Simplify right side
    132,030.10x = 20,915,720,912.31
  5. Step 5: Solve for x
    x = 20,915,720,912.31/132,030.10
  6. Step 6: Final answer
    x = 158,416.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.