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Finding the Fourth Proportional to 105,438.73, 157,983.13 and 74,208.37

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Solution

The fourth proportional to 105,438.73, 157,983.13 and 74,208.37 is: 111,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,438.73 : 157,983.13 = 74,208.37 : x
  2. Step 2: Convert to fraction form
    105,438.73/157,983.13 = 74,208.37/x
  3. Step 3: Cross multiply
    105,438.73x = 157,983.13 × 74,208.37
  4. Step 4: Simplify right side
    105,438.73x = 11,723,670,564.80
  5. Step 5: Solve for x
    x = 11,723,670,564.80/105,438.73
  6. Step 6: Final answer
    x = 111,189.41

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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.