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Finding the Fourth Proportional to 100,283.51, 138,311.52 and 85,226.02

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Solution

The fourth proportional to 100,283.51, 138,311.52 and 85,226.02 is: 117,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,283.51 : 138,311.52 = 85,226.02 : x
  2. Step 2: Convert to fraction form
    100,283.51/138,311.52 = 85,226.02/x
  3. Step 3: Cross multiply
    100,283.51x = 138,311.52 × 85,226.02
  4. Step 4: Simplify right side
    100,283.51x = 11,787,740,023.97
  5. Step 5: Solve for x
    x = 11,787,740,023.97/100,283.51
  6. Step 6: Final answer
    x = 117,544.15

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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.