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Finding the Fourth Proportional to 189,083.74, 260,935.02 and 104,200.78

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Solution

The fourth proportional to 189,083.74, 260,935.02 and 104,200.78 is: 143,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,083.74 : 260,935.02 = 104,200.78 : x
  2. Step 2: Convert to fraction form
    189,083.74/260,935.02 = 104,200.78/x
  3. Step 3: Cross multiply
    189,083.74x = 260,935.02 × 104,200.78
  4. Step 4: Simplify right side
    189,083.74x = 27,189,632,613.32
  5. Step 5: Solve for x
    x = 27,189,632,613.32/189,083.74
  6. Step 6: Final answer
    x = 143,796.78

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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.