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Finding the Fourth Proportional to 137,409.14, 205,817.47 and 92,790.54

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Solution

The fourth proportional to 137,409.14, 205,817.47 and 92,790.54 is: 138,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409.14 : 205,817.47 = 92,790.54 : x
  2. Step 2: Convert to fraction form
    137,409.14/205,817.47 = 92,790.54/x
  3. Step 3: Cross multiply
    137,409.14x = 205,817.47 × 92,790.54
  4. Step 4: Simplify right side
    137,409.14x = 19,097,914,182.73
  5. Step 5: Solve for x
    x = 19,097,914,182.73/137,409.14
  6. Step 6: Final answer
    x = 138,985.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.