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Finding the Fourth Proportional to 134,642.36, 185,805.50 and 74,213

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Solution

The fourth proportional to 134,642.36, 185,805.50 and 74,213 is: 102,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,642.36 : 185,805.50 = 74,213 : x
  2. Step 2: Convert to fraction form
    134,642.36/185,805.50 = 74,213/x
  3. Step 3: Cross multiply
    134,642.36x = 185,805.50 × 74,213
  4. Step 4: Simplify right side
    134,642.36x = 13,789,183,571.50
  5. Step 5: Solve for x
    x = 13,789,183,571.50/134,642.36
  6. Step 6: Final answer
    x = 102,413.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.