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Finding the Fourth Proportional to 107,369.45, 161,054 and 27,407.40

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Solution

The fourth proportional to 107,369.45, 161,054 and 27,407.40 is: 41,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,369.45 : 161,054 = 27,407.40 : x
  2. Step 2: Convert to fraction form
    107,369.45/161,054 = 27,407.40/x
  3. Step 3: Cross multiply
    107,369.45x = 161,054 × 27,407.40
  4. Step 4: Simplify right side
    107,369.45x = 4,414,071,399.60
  5. Step 5: Solve for x
    x = 4,414,071,399.60/107,369.45
  6. Step 6: Final answer
    x = 41,111.06

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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.