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Finding the Fourth Proportional to 131,353.63, 181,268.21 and 74,765

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Solution

The fourth proportional to 131,353.63, 181,268.21 and 74,765 is: 103,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,353.63 : 181,268.21 = 74,765 : x
  2. Step 2: Convert to fraction form
    131,353.63/181,268.21 = 74,765/x
  3. Step 3: Cross multiply
    131,353.63x = 181,268.21 × 74,765
  4. Step 4: Simplify right side
    131,353.63x = 13,552,517,720.65
  5. Step 5: Solve for x
    x = 13,552,517,720.65/131,353.63
  6. Step 6: Final answer
    x = 103,175.81

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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.