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Finding the Fourth Proportional to 189,580, 261,618.22 and 109,007.84

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Solution

The fourth proportional to 189,580, 261,618.22 and 109,007.84 is: 150,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,580 : 261,618.22 = 109,007.84 : x
  2. Step 2: Convert to fraction form
    189,580/261,618.22 = 109,007.84/x
  3. Step 3: Cross multiply
    189,580x = 261,618.22 × 109,007.84
  4. Step 4: Simplify right side
    189,580x = 28,518,437,066.84
  5. Step 5: Solve for x
    x = 28,518,437,066.84/189,580
  6. Step 6: Final answer
    x = 150,429.57

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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.