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Finding the Fourth Proportional to 122,879.82, 184,391.40 and 51,798.12

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Solution

The fourth proportional to 122,879.82, 184,391.40 and 51,798.12 is: 77,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,879.82 : 184,391.40 = 51,798.12 : x
  2. Step 2: Convert to fraction form
    122,879.82/184,391.40 = 51,798.12/x
  3. Step 3: Cross multiply
    122,879.82x = 184,391.40 × 51,798.12
  4. Step 4: Simplify right side
    122,879.82x = 9,551,127,864.17
  5. Step 5: Solve for x
    x = 9,551,127,864.17/122,879.82
  6. Step 6: Final answer
    x = 77,727.39

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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.