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Finding the Fourth Proportional to 201,512.80, 302,925.30 and 142,755.40

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Solution

The fourth proportional to 201,512.80, 302,925.30 and 142,755.40 is: 214,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,512.80 : 302,925.30 = 142,755.40 : x
  2. Step 2: Convert to fraction form
    201,512.80/302,925.30 = 142,755.40/x
  3. Step 3: Cross multiply
    201,512.80x = 302,925.30 × 142,755.40
  4. Step 4: Simplify right side
    201,512.80x = 43,244,222,371.62
  5. Step 5: Solve for x
    x = 43,244,222,371.62/201,512.80
  6. Step 6: Final answer
    x = 214,597.89

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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.