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Finding the Fourth Proportional to 189,648, 261,688.32 and 104,760

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Solution

The fourth proportional to 189,648, 261,688.32 and 104,760 is: 144,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,648 : 261,688.32 = 104,760 : x
  2. Step 2: Convert to fraction form
    189,648/261,688.32 = 104,760/x
  3. Step 3: Cross multiply
    189,648x = 261,688.32 × 104,760
  4. Step 4: Simplify right side
    189,648x = 27,414,468,403.20
  5. Step 5: Solve for x
    x = 27,414,468,403.20/189,648
  6. Step 6: Final answer
    x = 144,554.48

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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.