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Finding the Fourth Proportional to 71,830.67, 107,745.93 and 19,238.72

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Solution

The fourth proportional to 71,830.67, 107,745.93 and 19,238.72 is: 28,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,830.67 : 107,745.93 = 19,238.72 : x
  2. Step 2: Convert to fraction form
    71,830.67/107,745.93 = 19,238.72/x
  3. Step 3: Cross multiply
    71,830.67x = 107,745.93 × 19,238.72
  4. Step 4: Simplify right side
    71,830.67x = 2,072,893,143.49
  5. Step 5: Solve for x
    x = 2,072,893,143.49/71,830.67
  6. Step 6: Final answer
    x = 28,858.05

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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.