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Finding the Fourth Proportional to 137,253.70, 189,401.31 and 76,814.14

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Solution

The fourth proportional to 137,253.70, 189,401.31 and 76,814.14 is: 105,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,253.70 : 189,401.31 = 76,814.14 : x
  2. Step 2: Convert to fraction form
    137,253.70/189,401.31 = 76,814.14/x
  3. Step 3: Cross multiply
    137,253.70x = 189,401.31 × 76,814.14
  4. Step 4: Simplify right side
    137,253.70x = 14,548,698,742.52
  5. Step 5: Solve for x
    x = 14,548,698,742.52/137,253.70
  6. Step 6: Final answer
    x = 105,998.59

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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.