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Finding the Fourth Proportional to 202,140.90, 302,883.30 and 127,126.80

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Solution

The fourth proportional to 202,140.90, 302,883.30 and 127,126.80 is: 190,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140.90 : 302,883.30 = 127,126.80 : x
  2. Step 2: Convert to fraction form
    202,140.90/302,883.30 = 127,126.80/x
  3. Step 3: Cross multiply
    202,140.90x = 302,883.30 × 127,126.80
  4. Step 4: Simplify right side
    202,140.90x = 38,504,584,702.44
  5. Step 5: Solve for x
    x = 38,504,584,702.44/202,140.90
  6. Step 6: Final answer
    x = 190,483.89

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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.