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Finding the Fourth Proportional to 202,951.78, 280,069.26 and 112,307.68

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Solution

The fourth proportional to 202,951.78, 280,069.26 and 112,307.68 is: 154,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,951.78 : 280,069.26 = 112,307.68 : x
  2. Step 2: Convert to fraction form
    202,951.78/280,069.26 = 112,307.68/x
  3. Step 3: Cross multiply
    202,951.78x = 280,069.26 × 112,307.68
  4. Step 4: Simplify right side
    202,951.78x = 31,453,929,390.58
  5. Step 5: Solve for x
    x = 31,453,929,390.58/202,951.78
  6. Step 6: Final answer
    x = 154,982.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.