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Finding the Fourth Proportional to 49,608, 74,412 and 31,152.96

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Solution

The fourth proportional to 49,608, 74,412 and 31,152.96 is: 46,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,608 : 74,412 = 31,152.96 : x
  2. Step 2: Convert to fraction form
    49,608/74,412 = 31,152.96/x
  3. Step 3: Cross multiply
    49,608x = 74,412 × 31,152.96
  4. Step 4: Simplify right side
    49,608x = 2,318,154,059.52
  5. Step 5: Solve for x
    x = 2,318,154,059.52/49,608
  6. Step 6: Final answer
    x = 46,729.44

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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.