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Finding the Fourth Proportional to 112,409.78, 155,157.82 and 74,197.22

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Solution

The fourth proportional to 112,409.78, 155,157.82 and 74,197.22 is: 102,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,409.78 : 155,157.82 = 74,197.22 : x
  2. Step 2: Convert to fraction form
    112,409.78/155,157.82 = 74,197.22/x
  3. Step 3: Cross multiply
    112,409.78x = 155,157.82 × 74,197.22
  4. Step 4: Simplify right side
    112,409.78x = 11,512,278,905.26
  5. Step 5: Solve for x
    x = 11,512,278,905.26/112,409.78
  6. Step 6: Final answer
    x = 102,413.50

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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.