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Finding the Fourth Proportional to 137,050.05, 189,118.62 and 83,327.61

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Solution

The fourth proportional to 137,050.05, 189,118.62 and 83,327.61 is: 114,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,050.05 : 189,118.62 = 83,327.61 : x
  2. Step 2: Convert to fraction form
    137,050.05/189,118.62 = 83,327.61/x
  3. Step 3: Cross multiply
    137,050.05x = 189,118.62 × 83,327.61
  4. Step 4: Simplify right side
    137,050.05x = 15,758,802,611.10
  5. Step 5: Solve for x
    x = 15,758,802,611.10/137,050.05
  6. Step 6: Final answer
    x = 114,985.75

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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.