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Finding the Fourth Proportional to 205,720.10, 308,119.35 and 201,112.10

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Solution

The fourth proportional to 205,720.10, 308,119.35 and 201,112.10 is: 301,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,720.10 : 308,119.35 = 201,112.10 : x
  2. Step 2: Convert to fraction form
    205,720.10/308,119.35 = 201,112.10/x
  3. Step 3: Cross multiply
    205,720.10x = 308,119.35 × 201,112.10
  4. Step 4: Simplify right side
    205,720.10x = 61,966,529,529.14
  5. Step 5: Solve for x
    x = 61,966,529,529.14/205,720.10
  6. Step 6: Final answer
    x = 301,217.67

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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.