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Finding the Fourth Proportional to 137,195.10, 189,358.65 and 83,497.41

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Solution

The fourth proportional to 137,195.10, 189,358.65 and 83,497.41 is: 115,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,195.10 : 189,358.65 = 83,497.41 : x
  2. Step 2: Convert to fraction form
    137,195.10/189,358.65 = 83,497.41/x
  3. Step 3: Cross multiply
    137,195.10x = 189,358.65 × 83,497.41
  4. Step 4: Simplify right side
    137,195.10x = 15,810,956,836.10
  5. Step 5: Solve for x
    x = 15,810,956,836.10/137,195.10
  6. Step 6: Final answer
    x = 115,244.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.