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Finding the Fourth Proportional to 189,771, 261,814.74 and 146,176.76

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Solution

The fourth proportional to 189,771, 261,814.74 and 146,176.76 is: 201,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,771 : 261,814.74 = 146,176.76 : x
  2. Step 2: Convert to fraction form
    189,771/261,814.74 = 146,176.76/x
  3. Step 3: Cross multiply
    189,771x = 261,814.74 × 146,176.76
  4. Step 4: Simplify right side
    189,771x = 38,271,230,413.44
  5. Step 5: Solve for x
    x = 38,271,230,413.44/189,771
  6. Step 6: Final answer
    x = 201,670.59

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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.