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Finding the Fourth Proportional to 189,093.30, 260,943.94 and 103,054.49

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Solution

The fourth proportional to 189,093.30, 260,943.94 and 103,054.49 is: 142,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,093.30 : 260,943.94 = 103,054.49 : x
  2. Step 2: Convert to fraction form
    189,093.30/260,943.94 = 103,054.49/x
  3. Step 3: Cross multiply
    189,093.30x = 260,943.94 × 103,054.49
  4. Step 4: Simplify right side
    189,093.30x = 26,891,444,457.93
  5. Step 5: Solve for x
    x = 26,891,444,457.93/189,093.30
  6. Step 6: Final answer
    x = 142,212.57

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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.