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Finding the Fourth Proportional to 189,067, 260,904.06 and 103,026.28

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Solution

The fourth proportional to 189,067, 260,904.06 and 103,026.28 is: 142,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,067 : 260,904.06 = 103,026.28 : x
  2. Step 2: Convert to fraction form
    189,067/260,904.06 = 103,026.28/x
  3. Step 3: Cross multiply
    189,067x = 260,904.06 × 103,026.28
  4. Step 4: Simplify right side
    189,067x = 26,879,974,738.70
  5. Step 5: Solve for x
    x = 26,879,974,738.70/189,067
  6. Step 6: Final answer
    x = 142,171.69

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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.