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Finding the Fourth Proportional to 102,015.64, 140,801.73 and 65,198.30

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Solution

The fourth proportional to 102,015.64, 140,801.73 and 65,198.30 is: 89,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015.64 : 140,801.73 = 65,198.30 : x
  2. Step 2: Convert to fraction form
    102,015.64/140,801.73 = 65,198.30/x
  3. Step 3: Cross multiply
    102,015.64x = 140,801.73 × 65,198.30
  4. Step 4: Simplify right side
    102,015.64x = 9,180,033,433.06
  5. Step 5: Solve for x
    x = 9,180,033,433.06/102,015.64
  6. Step 6: Final answer
    x = 89,986.53

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1.5x scale

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.