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Finding the Fourth Proportional to 201,707.80, 303,217.80 and 142,950.40

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Solution

The fourth proportional to 201,707.80, 303,217.80 and 142,950.40 is: 214,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707.80 : 303,217.80 = 142,950.40 : x
  2. Step 2: Convert to fraction form
    201,707.80/303,217.80 = 142,950.40/x
  3. Step 3: Cross multiply
    201,707.80x = 303,217.80 × 142,950.40
  4. Step 4: Simplify right side
    201,707.80x = 43,345,105,797.12
  5. Step 5: Solve for x
    x = 43,345,105,797.12/201,707.80
  6. Step 6: Final answer
    x = 214,890.58

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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.