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Finding the Fourth Proportional to 199,051.44, 274,643.28 and 112,991.28

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Solution

The fourth proportional to 199,051.44, 274,643.28 and 112,991.28 is: 155,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,051.44 : 274,643.28 = 112,991.28 : x
  2. Step 2: Convert to fraction form
    199,051.44/274,643.28 = 112,991.28/x
  3. Step 3: Cross multiply
    199,051.44x = 274,643.28 × 112,991.28
  4. Step 4: Simplify right side
    199,051.44x = 31,032,295,750.60
  5. Step 5: Solve for x
    x = 31,032,295,750.60/199,051.44
  6. Step 6: Final answer
    x = 155,900.89

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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.