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Finding the Fourth Proportional to 137,178.91, 189,314.24 and 76,745.96

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Solution

The fourth proportional to 137,178.91, 189,314.24 and 76,745.96 is: 105,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.91 : 189,314.24 = 76,745.96 : x
  2. Step 2: Convert to fraction form
    137,178.91/189,314.24 = 76,745.96/x
  3. Step 3: Cross multiply
    137,178.91x = 189,314.24 × 76,745.96
  4. Step 4: Simplify right side
    137,178.91x = 14,529,101,760.17
  5. Step 5: Solve for x
    x = 14,529,101,760.17/137,178.91
  6. Step 6: Final answer
    x = 105,913.53

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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.