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Finding the Fourth Proportional to 201,244.10, 301,902.60 and 101,152.40

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Solution

The fourth proportional to 201,244.10, 301,902.60 and 101,152.40 is: 151,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,244.10 : 301,902.60 = 101,152.40 : x
  2. Step 2: Convert to fraction form
    201,244.10/301,902.60 = 101,152.40/x
  3. Step 3: Cross multiply
    201,244.10x = 301,902.60 × 101,152.40
  4. Step 4: Simplify right side
    201,244.10x = 30,538,172,556.24
  5. Step 5: Solve for x
    x = 30,538,172,556.24/201,244.10
  6. Step 6: Final answer
    x = 151,746.92

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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.