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Finding the Fourth Proportional to 107,172.90, 160,726.53 and 74,105.46

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Solution

The fourth proportional to 107,172.90, 160,726.53 and 74,105.46 is: 111,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,172.90 : 160,726.53 = 74,105.46 : x
  2. Step 2: Convert to fraction form
    107,172.90/160,726.53 = 74,105.46/x
  3. Step 3: Cross multiply
    107,172.90x = 160,726.53 × 74,105.46
  4. Step 4: Simplify right side
    107,172.90x = 11,910,713,439.85
  5. Step 5: Solve for x
    x = 11,910,713,439.85/107,172.90
  6. Step 6: Final answer
    x = 111,135.50

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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.