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Finding the Fourth Proportional to 201,719.80, 303,235.80 and 142,962.40

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Solution

The fourth proportional to 201,719.80, 303,235.80 and 142,962.40 is: 214,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,719.80 : 303,235.80 = 142,962.40 : x
  2. Step 2: Convert to fraction form
    201,719.80/303,235.80 = 142,962.40/x
  3. Step 3: Cross multiply
    201,719.80x = 303,235.80 × 142,962.40
  4. Step 4: Simplify right side
    201,719.80x = 43,351,317,733.92
  5. Step 5: Solve for x
    x = 43,351,317,733.92/201,719.80
  6. Step 6: Final answer
    x = 214,908.59

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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.