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Finding the Fourth Proportional to 201,196.56, 277,658.76 and 120,637.20

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Solution

The fourth proportional to 201,196.56, 277,658.76 and 120,637.20 is: 166,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,196.56 : 277,658.76 = 120,637.20 : x
  2. Step 2: Convert to fraction form
    201,196.56/277,658.76 = 120,637.20/x
  3. Step 3: Cross multiply
    201,196.56x = 277,658.76 × 120,637.20
  4. Step 4: Simplify right side
    201,196.56x = 33,495,975,361.87
  5. Step 5: Solve for x
    x = 33,495,975,361.87/201,196.56
  6. Step 6: Final answer
    x = 166,483.84

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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.