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Finding the Fourth Proportional to 109,407.51, 164,111.13 and 39,286.89

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Solution

The fourth proportional to 109,407.51, 164,111.13 and 39,286.89 is: 58,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,407.51 : 164,111.13 = 39,286.89 : x
  2. Step 2: Convert to fraction form
    109,407.51/164,111.13 = 39,286.89/x
  3. Step 3: Cross multiply
    109,407.51x = 164,111.13 × 39,286.89
  4. Step 4: Simplify right side
    109,407.51x = 6,447,415,912.09
  5. Step 5: Solve for x
    x = 6,447,415,912.09/109,407.51
  6. Step 6: Final answer
    x = 58,930.29

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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.