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Finding the Fourth Proportional to 201,151.30, 301,921.35 and 122,419.30

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Solution

The fourth proportional to 201,151.30, 301,921.35 and 122,419.30 is: 183,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151.30 : 301,921.35 = 122,419.30 : x
  2. Step 2: Convert to fraction form
    201,151.30/301,921.35 = 122,419.30/x
  3. Step 3: Cross multiply
    201,151.30x = 301,921.35 × 122,419.30
  4. Step 4: Simplify right side
    201,151.30x = 36,961,000,322.06
  5. Step 5: Solve for x
    x = 36,961,000,322.06/201,151.30
  6. Step 6: Final answer
    x = 183,747.26

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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.