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Finding the Fourth Proportional to 107,912, 161,896.80 and 34,040

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Solution

The fourth proportional to 107,912, 161,896.80 and 34,040 is: 51,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,912 : 161,896.80 = 34,040 : x
  2. Step 2: Convert to fraction form
    107,912/161,896.80 = 34,040/x
  3. Step 3: Cross multiply
    107,912x = 161,896.80 × 34,040
  4. Step 4: Simplify right side
    107,912x = 5,510,967,072
  5. Step 5: Solve for x
    x = 5,510,967,072/107,912
  6. Step 6: Final answer
    x = 51,069.08

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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.