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Finding the Fourth Proportional to 138,096.50, 189,747.29 and 109,752.98

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Solution

The fourth proportional to 138,096.50, 189,747.29 and 109,752.98 is: 150,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,096.50 : 189,747.29 = 109,752.98 : x
  2. Step 2: Convert to fraction form
    138,096.50/189,747.29 = 109,752.98/x
  3. Step 3: Cross multiply
    138,096.50x = 189,747.29 × 109,752.98
  4. Step 4: Simplify right side
    138,096.50x = 20,825,329,850.07
  5. Step 5: Solve for x
    x = 20,825,329,850.07/138,096.50
  6. Step 6: Final answer
    x = 150,802.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.