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Finding the Fourth Proportional to 189,069, 260,906.82 and 103,028.28

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Solution

The fourth proportional to 189,069, 260,906.82 and 103,028.28 is: 142,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,069 : 260,906.82 = 103,028.28 : x
  2. Step 2: Convert to fraction form
    189,069/260,906.82 = 103,028.28/x
  3. Step 3: Cross multiply
    189,069x = 260,906.82 × 103,028.28
  4. Step 4: Simplify right side
    189,069x = 26,880,780,904.87
  5. Step 5: Solve for x
    x = 26,880,780,904.87/189,069
  6. Step 6: Final answer
    x = 142,174.45

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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.