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Finding the Fourth Proportional to 122,120.16, 184,122 and 121,362

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Solution

The fourth proportional to 122,120.16, 184,122 and 121,362 is: 182,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,120.16 : 184,122 = 121,362 : x
  2. Step 2: Convert to fraction form
    122,120.16/184,122 = 121,362/x
  3. Step 3: Cross multiply
    122,120.16x = 184,122 × 121,362
  4. Step 4: Simplify right side
    122,120.16x = 22,345,414,164
  5. Step 5: Solve for x
    x = 22,345,414,164/122,120.16
  6. Step 6: Final answer
    x = 182,978.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.