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Finding the Fourth Proportional to 137,604.48, 189,893.46 and 76,350.12

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Solution

The fourth proportional to 137,604.48, 189,893.46 and 76,350.12 is: 105,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,604.48 : 189,893.46 = 76,350.12 : x
  2. Step 2: Convert to fraction form
    137,604.48/189,893.46 = 76,350.12/x
  3. Step 3: Cross multiply
    137,604.48x = 189,893.46 × 76,350.12
  4. Step 4: Simplify right side
    137,604.48x = 14,498,388,458.22
  5. Step 5: Solve for x
    x = 14,498,388,458.22/137,604.48
  6. Step 6: Final answer
    x = 105,362.76

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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.