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Finding the Fourth Proportional to 34,149, 47,125.98 and 19,245

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Solution

The fourth proportional to 34,149, 47,125.98 and 19,245 is: 26,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149 : 47,125.98 = 19,245 : x
  2. Step 2: Convert to fraction form
    34,149/47,125.98 = 19,245/x
  3. Step 3: Cross multiply
    34,149x = 47,125.98 × 19,245
  4. Step 4: Simplify right side
    34,149x = 906,939,485.10
  5. Step 5: Solve for x
    x = 906,939,485.10/34,149
  6. Step 6: Final answer
    x = 26,558.30

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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.