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Finding the Fourth Proportional to 102,122.56, 140,998.56 and 75,268.16

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Solution

The fourth proportional to 102,122.56, 140,998.56 and 75,268.16 is: 103,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,122.56 : 140,998.56 = 75,268.16 : x
  2. Step 2: Convert to fraction form
    102,122.56/140,998.56 = 75,268.16/x
  3. Step 3: Cross multiply
    102,122.56x = 140,998.56 × 75,268.16
  4. Step 4: Simplify right side
    102,122.56x = 10,612,702,173.85
  5. Step 5: Solve for x
    x = 10,612,702,173.85/102,122.56
  6. Step 6: Final answer
    x = 103,921.23

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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.