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Finding the Fourth Proportional to 281,359.44, 422,106.29 and 91,820.16

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Solution

The fourth proportional to 281,359.44, 422,106.29 and 91,820.16 is: 137,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,359.44 : 422,106.29 = 91,820.16 : x
  2. Step 2: Convert to fraction form
    281,359.44/422,106.29 = 91,820.16/x
  3. Step 3: Cross multiply
    281,359.44x = 422,106.29 × 91,820.16
  4. Step 4: Simplify right side
    281,359.44x = 38,757,867,084.81
  5. Step 5: Solve for x
    x = 38,757,867,084.81/281,359.44
  6. Step 6: Final answer
    x = 137,752.15

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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.