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Finding the Fourth Proportional to 201,523.80, 302,941.80 and 142,766.40

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Solution

The fourth proportional to 201,523.80, 302,941.80 and 142,766.40 is: 214,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,523.80 : 302,941.80 = 142,766.40 : x
  2. Step 2: Convert to fraction form
    201,523.80/302,941.80 = 142,766.40/x
  3. Step 3: Cross multiply
    201,523.80x = 302,941.80 × 142,766.40
  4. Step 4: Simplify right side
    201,523.80x = 43,249,910,195.52
  5. Step 5: Solve for x
    x = 43,249,910,195.52/201,523.80
  6. Step 6: Final answer
    x = 214,614.40

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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.