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Finding the Fourth Proportional to 118,704.90, 178,084 and 39,817.10

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Solution

The fourth proportional to 118,704.90, 178,084 and 39,817.10 is: 59,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,704.90 : 178,084 = 39,817.10 : x
  2. Step 2: Convert to fraction form
    118,704.90/178,084 = 39,817.10/x
  3. Step 3: Cross multiply
    118,704.90x = 178,084 × 39,817.10
  4. Step 4: Simplify right side
    118,704.90x = 7,090,788,436.40
  5. Step 5: Solve for x
    x = 7,090,788,436.40/118,704.90
  6. Step 6: Final answer
    x = 59,734.59

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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.