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Finding the Fourth Proportional to 137,364, 189,376.22 and 117,434.96

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Solution

The fourth proportional to 137,364, 189,376.22 and 117,434.96 is: 161,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,364 : 189,376.22 = 117,434.96 : x
  2. Step 2: Convert to fraction form
    137,364/189,376.22 = 117,434.96/x
  3. Step 3: Cross multiply
    137,364x = 189,376.22 × 117,434.96
  4. Step 4: Simplify right side
    137,364x = 22,239,388,233.48
  5. Step 5: Solve for x
    x = 22,239,388,233.48/137,364
  6. Step 6: Final answer
    x = 161,901.14

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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.