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Finding the Fourth Proportional to 118,842.78, 178,144.22 and 74,500.68

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Solution

The fourth proportional to 118,842.78, 178,144.22 and 74,500.68 is: 111,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,842.78 : 178,144.22 = 74,500.68 : x
  2. Step 2: Convert to fraction form
    118,842.78/178,144.22 = 74,500.68/x
  3. Step 3: Cross multiply
    118,842.78x = 178,144.22 × 74,500.68
  4. Step 4: Simplify right side
    118,842.78x = 13,271,865,155.57
  5. Step 5: Solve for x
    x = 13,271,865,155.57/118,842.78
  6. Step 6: Final answer
    x = 111,675.82

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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.