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Finding the Fourth Proportional to 137,412.57, 189,586.31 and 76,975.05

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Solution

The fourth proportional to 137,412.57, 189,586.31 and 76,975.05 is: 106,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412.57 : 189,586.31 = 76,975.05 : x
  2. Step 2: Convert to fraction form
    137,412.57/189,586.31 = 76,975.05/x
  3. Step 3: Cross multiply
    137,412.57x = 189,586.31 × 76,975.05
  4. Step 4: Simplify right side
    137,412.57x = 14,593,415,306.69
  5. Step 5: Solve for x
    x = 14,593,415,306.69/137,412.57
  6. Step 6: Final answer
    x = 106,201.46

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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.