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Finding the Fourth Proportional to 125,930.73, 173,731.36 and 83,415.45

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Solution

The fourth proportional to 125,930.73, 173,731.36 and 83,415.45 is: 115,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,930.73 : 173,731.36 = 83,415.45 : x
  2. Step 2: Convert to fraction form
    125,930.73/173,731.36 = 83,415.45/x
  3. Step 3: Cross multiply
    125,930.73x = 173,731.36 × 83,415.45
  4. Step 4: Simplify right side
    125,930.73x = 14,491,879,573.51
  5. Step 5: Solve for x
    x = 14,491,879,573.51/125,930.73
  6. Step 6: Final answer
    x = 115,078.18

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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.