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Finding the Fourth Proportional to 135,411.64, 186,873.96 and 74,982.28

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Solution

The fourth proportional to 135,411.64, 186,873.96 and 74,982.28 is: 103,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,411.64 : 186,873.96 = 74,982.28 : x
  2. Step 2: Convert to fraction form
    135,411.64/186,873.96 = 74,982.28/x
  3. Step 3: Cross multiply
    135,411.64x = 186,873.96 × 74,982.28
  4. Step 4: Simplify right side
    135,411.64x = 14,012,235,593.43
  5. Step 5: Solve for x
    x = 14,012,235,593.43/135,411.64
  6. Step 6: Final answer
    x = 103,478.81

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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.