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Finding the Fourth Proportional to 205,904.40, 308,856.60 and 122,960.40

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Solution

The fourth proportional to 205,904.40, 308,856.60 and 122,960.40 is: 184,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,904.40 : 308,856.60 = 122,960.40 : x
  2. Step 2: Convert to fraction form
    205,904.40/308,856.60 = 122,960.40/x
  3. Step 3: Cross multiply
    205,904.40x = 308,856.60 × 122,960.40
  4. Step 4: Simplify right side
    205,904.40x = 37,977,131,078.64
  5. Step 5: Solve for x
    x = 37,977,131,078.64/205,904.40
  6. Step 6: Final answer
    x = 184,440.60

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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.