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Finding the Fourth Proportional to 201,523.30, 302,941.05 and 142,765.90

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Solution

The fourth proportional to 201,523.30, 302,941.05 and 142,765.90 is: 214,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,523.30 : 302,941.05 = 142,765.90 : x
  2. Step 2: Convert to fraction form
    201,523.30/302,941.05 = 142,765.90/x
  3. Step 3: Cross multiply
    201,523.30x = 302,941.05 × 142,765.90
  4. Step 4: Simplify right side
    201,523.30x = 43,249,651,650.20
  5. Step 5: Solve for x
    x = 43,249,651,650.20/201,523.30
  6. Step 6: Final answer
    x = 214,613.65

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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.