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Finding the Fourth Proportional to 137,155.14, 205,731.27 and 104,078.37

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Solution

The fourth proportional to 137,155.14, 205,731.27 and 104,078.37 is: 156,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,155.14 : 205,731.27 = 104,078.37 : x
  2. Step 2: Convert to fraction form
    137,155.14/205,731.27 = 104,078.37/x
  3. Step 3: Cross multiply
    137,155.14x = 205,731.27 × 104,078.37
  4. Step 4: Simplify right side
    137,155.14x = 21,412,175,239.63
  5. Step 5: Solve for x
    x = 21,412,175,239.63/137,155.14
  6. Step 6: Final answer
    x = 156,116.46

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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.