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Finding the Fourth Proportional to 103,950, 155,950.98 and 30,078

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Solution

The fourth proportional to 103,950, 155,950.98 and 30,078 is: 45,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,950 : 155,950.98 = 30,078 : x
  2. Step 2: Convert to fraction form
    103,950/155,950.98 = 30,078/x
  3. Step 3: Cross multiply
    103,950x = 155,950.98 × 30,078
  4. Step 4: Simplify right side
    103,950x = 4,690,693,576.44
  5. Step 5: Solve for x
    x = 4,690,693,576.44/103,950
  6. Step 6: Final answer
    x = 45,124.52

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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.