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Finding the Fourth Proportional to 208,622.63, 312,972.90 and 94,778.43

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Solution

The fourth proportional to 208,622.63, 312,972.90 and 94,778.43 is: 142,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,622.63 : 312,972.90 = 94,778.43 : x
  2. Step 2: Convert to fraction form
    208,622.63/312,972.90 = 94,778.43/x
  3. Step 3: Cross multiply
    208,622.63x = 312,972.90 × 94,778.43
  4. Step 4: Simplify right side
    208,622.63x = 29,663,080,094.55
  5. Step 5: Solve for x
    x = 29,663,080,094.55/208,622.63
  6. Step 6: Final answer
    x = 142,185.34

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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.