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Finding the Fourth Proportional to 118,893.54, 178,312 and 47,816.38

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Solution

The fourth proportional to 118,893.54, 178,312 and 47,816.38 is: 71,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,893.54 : 178,312 = 47,816.38 : x
  2. Step 2: Convert to fraction form
    118,893.54/178,312 = 47,816.38/x
  3. Step 3: Cross multiply
    118,893.54x = 178,312 × 47,816.38
  4. Step 4: Simplify right side
    118,893.54x = 8,526,234,350.56
  5. Step 5: Solve for x
    x = 8,526,234,350.56/118,893.54
  6. Step 6: Final answer
    x = 71,713.18

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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.