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Finding the Fourth Proportional to 201,240.25, 277,650.92 and 120,638.36

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Solution

The fourth proportional to 201,240.25, 277,650.92 and 120,638.36 is: 166,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,240.25 : 277,650.92 = 120,638.36 : x
  2. Step 2: Convert to fraction form
    201,240.25/277,650.92 = 120,638.36/x
  3. Step 3: Cross multiply
    201,240.25x = 277,650.92 × 120,638.36
  4. Step 4: Simplify right side
    201,240.25x = 33,495,352,637.01
  5. Step 5: Solve for x
    x = 33,495,352,637.01/201,240.25
  6. Step 6: Final answer
    x = 166,444.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.