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Finding the Fourth Proportional to 189,066, 260,902.68 and 103,025.28

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Solution

The fourth proportional to 189,066, 260,902.68 and 103,025.28 is: 142,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,066 : 260,902.68 = 103,025.28 : x
  2. Step 2: Convert to fraction form
    189,066/260,902.68 = 103,025.28/x
  3. Step 3: Cross multiply
    189,066x = 260,902.68 × 103,025.28
  4. Step 4: Simplify right side
    189,066x = 26,879,571,659.75
  5. Step 5: Solve for x
    x = 26,879,571,659.75/189,066
  6. Step 6: Final answer
    x = 142,170.31

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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.