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Finding the Fourth Proportional to 201,308.55, 277,811.16 and 109,434.03

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Solution

The fourth proportional to 201,308.55, 277,811.16 and 109,434.03 is: 151,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,308.55 : 277,811.16 = 109,434.03 : x
  2. Step 2: Convert to fraction form
    201,308.55/277,811.16 = 109,434.03/x
  3. Step 3: Cross multiply
    201,308.55x = 277,811.16 × 109,434.03
  4. Step 4: Simplify right side
    201,308.55x = 30,401,994,817.77
  5. Step 5: Solve for x
    x = 30,401,994,817.77/201,308.55
  6. Step 6: Final answer
    x = 151,021.88

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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.