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Finding the Fourth Proportional to 112,279.36, 154,945.20 and 61,978

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Solution

The fourth proportional to 112,279.36, 154,945.20 and 61,978 is: 85,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,279.36 : 154,945.20 = 61,978 : x
  2. Step 2: Convert to fraction form
    112,279.36/154,945.20 = 61,978/x
  3. Step 3: Cross multiply
    112,279.36x = 154,945.20 × 61,978
  4. Step 4: Simplify right side
    112,279.36x = 9,603,193,605.60
  5. Step 5: Solve for x
    x = 9,603,193,605.60/112,279.36
  6. Step 6: Final answer
    x = 85,529.47

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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.