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Finding the Fourth Proportional to 201,301.23, 302,001.28 and 100,147.01

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Solution

The fourth proportional to 201,301.23, 302,001.28 and 100,147.01 is: 150,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.23 : 302,001.28 = 100,147.01 : x
  2. Step 2: Convert to fraction form
    201,301.23/302,001.28 = 100,147.01/x
  3. Step 3: Cross multiply
    201,301.23x = 302,001.28 × 100,147.01
  4. Step 4: Simplify right side
    201,301.23x = 30,244,525,208.17
  5. Step 5: Solve for x
    x = 30,244,525,208.17/201,301.23
  6. Step 6: Final answer
    x = 150,245.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.