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Finding the Fourth Proportional to 189,623.62, 261,667.29 and 104,734

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Solution

The fourth proportional to 189,623.62, 261,667.29 and 104,734 is: 144,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,623.62 : 261,667.29 = 104,734 : x
  2. Step 2: Convert to fraction form
    189,623.62/261,667.29 = 104,734/x
  3. Step 3: Cross multiply
    189,623.62x = 261,667.29 × 104,734
  4. Step 4: Simplify right side
    189,623.62x = 27,405,461,950.86
  5. Step 5: Solve for x
    x = 27,405,461,950.86/189,623.62
  6. Step 6: Final answer
    x = 144,525.57

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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.