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Finding the Fourth Proportional to 201,151.80, 301,922.10 and 122,419.80

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Solution

The fourth proportional to 201,151.80, 301,922.10 and 122,419.80 is: 183,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151.80 : 301,922.10 = 122,419.80 : x
  2. Step 2: Convert to fraction form
    201,151.80/301,922.10 = 122,419.80/x
  3. Step 3: Cross multiply
    201,151.80x = 301,922.10 × 122,419.80
  4. Step 4: Simplify right side
    201,151.80x = 36,961,243,097.58
  5. Step 5: Solve for x
    x = 36,961,243,097.58/201,151.80
  6. Step 6: Final answer
    x = 183,748.01

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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.