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Finding the Fourth Proportional to 200,666.07, 301,015.49 and 100,774.89

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Solution

The fourth proportional to 200,666.07, 301,015.49 and 100,774.89 is: 151,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666.07 : 301,015.49 = 100,774.89 : x
  2. Step 2: Convert to fraction form
    200,666.07/301,015.49 = 100,774.89/x
  3. Step 3: Cross multiply
    200,666.07x = 301,015.49 × 100,774.89
  4. Step 4: Simplify right side
    200,666.07x = 30,334,802,389.17
  5. Step 5: Solve for x
    x = 30,334,802,389.17/200,666.07
  6. Step 6: Final answer
    x = 151,170.56

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1.5x scale

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.