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Finding the Fourth Proportional to 53,893.90, 74,367.90 and 31,240

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Solution

The fourth proportional to 53,893.90, 74,367.90 and 31,240 is: 43,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,893.90 : 74,367.90 = 31,240 : x
  2. Step 2: Convert to fraction form
    53,893.90/74,367.90 = 31,240/x
  3. Step 3: Cross multiply
    53,893.90x = 74,367.90 × 31,240
  4. Step 4: Simplify right side
    53,893.90x = 2,323,253,196
  5. Step 5: Solve for x
    x = 2,323,253,196/53,893.90
  6. Step 6: Final answer
    x = 43,107.91

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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.