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Finding the Fourth Proportional to 189,078.16, 260,926.61 and 104,195.29

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Solution

The fourth proportional to 189,078.16, 260,926.61 and 104,195.29 is: 143,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,078.16 : 260,926.61 = 104,195.29 : x
  2. Step 2: Convert to fraction form
    189,078.16/260,926.61 = 104,195.29/x
  3. Step 3: Cross multiply
    189,078.16x = 260,926.61 × 104,195.29
  4. Step 4: Simplify right side
    189,078.16x = 27,187,323,797.67
  5. Step 5: Solve for x
    x = 27,187,323,797.67/189,078.16
  6. Step 6: Final answer
    x = 143,788.81

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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.