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Finding the Fourth Proportional to 129,978.26, 194,927.70 and 55,097

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Solution

The fourth proportional to 129,978.26, 194,927.70 and 55,097 is: 82,628.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,978.26 : 194,927.70 = 55,097 : x
  2. Step 2: Convert to fraction form
    129,978.26/194,927.70 = 55,097/x
  3. Step 3: Cross multiply
    129,978.26x = 194,927.70 × 55,097
  4. Step 4: Simplify right side
    129,978.26x = 10,739,931,486.90
  5. Step 5: Solve for x
    x = 10,739,931,486.90/129,978.26
  6. Step 6: Final answer
    x = 82,628.68

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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.