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Finding the Fourth Proportional to 201,635.12, 277,655.78 and 197,159.87

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Solution

The fourth proportional to 201,635.12, 277,655.78 and 197,159.87 is: 271,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,635.12 : 277,655.78 = 197,159.87 : x
  2. Step 2: Convert to fraction form
    201,635.12/277,655.78 = 197,159.87/x
  3. Step 3: Cross multiply
    201,635.12x = 277,655.78 × 197,159.87
  4. Step 4: Simplify right side
    201,635.12x = 54,742,576,594.17
  5. Step 5: Solve for x
    x = 54,742,576,594.17/201,635.12
  6. Step 6: Final answer
    x = 271,493.27

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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.