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Finding the Fourth Proportional to 189,466.72, 284,049.32 and 109,413.81

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Solution

The fourth proportional to 189,466.72, 284,049.32 and 109,413.81 is: 164,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.72 : 284,049.32 = 109,413.81 : x
  2. Step 2: Convert to fraction form
    189,466.72/284,049.32 = 109,413.81/x
  3. Step 3: Cross multiply
    189,466.72x = 284,049.32 × 109,413.81
  4. Step 4: Simplify right side
    189,466.72x = 31,078,917,782.04
  5. Step 5: Solve for x
    x = 31,078,917,782.04/189,466.72
  6. Step 6: Final answer
    x = 164,033.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.