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Finding the Fourth Proportional to 189,809.69, 261,948.86 and 109,235.45

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Solution

The fourth proportional to 189,809.69, 261,948.86 and 109,235.45 is: 150,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,809.69 : 261,948.86 = 109,235.45 : x
  2. Step 2: Convert to fraction form
    189,809.69/261,948.86 = 109,235.45/x
  3. Step 3: Cross multiply
    189,809.69x = 261,948.86 × 109,235.45
  4. Step 4: Simplify right side
    189,809.69x = 28,614,099,743.17
  5. Step 5: Solve for x
    x = 28,614,099,743.17/189,809.69
  6. Step 6: Final answer
    x = 150,751.53

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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.