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Finding the Fourth Proportional to 137,178.21, 189,298.20 and 75,921.06

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Solution

The fourth proportional to 137,178.21, 189,298.20 and 75,921.06 is: 104,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.21 : 189,298.20 = 75,921.06 : x
  2. Step 2: Convert to fraction form
    137,178.21/189,298.20 = 75,921.06/x
  3. Step 3: Cross multiply
    137,178.21x = 189,298.20 × 75,921.06
  4. Step 4: Simplify right side
    137,178.21x = 14,371,720,000.09
  5. Step 5: Solve for x
    x = 14,371,720,000.09/137,178.21
  6. Step 6: Final answer
    x = 104,766.78

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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.