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Finding the Fourth Proportional to 137,091.96, 189,179.06 and 75,834.50

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Solution

The fourth proportional to 137,091.96, 189,179.06 and 75,834.50 is: 104,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,091.96 : 189,179.06 = 75,834.50 : x
  2. Step 2: Convert to fraction form
    137,091.96/189,179.06 = 75,834.50/x
  3. Step 3: Cross multiply
    137,091.96x = 189,179.06 × 75,834.50
  4. Step 4: Simplify right side
    137,091.96x = 14,346,298,100.50
  5. Step 5: Solve for x
    x = 14,346,298,100.50/137,091.96
  6. Step 6: Final answer
    x = 104,647.26

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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.