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Finding the Fourth Proportional to 118,974.60, 178,478.31 and 69,078.20

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Solution

The fourth proportional to 118,974.60, 178,478.31 and 69,078.20 is: 103,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,974.60 : 178,478.31 = 69,078.20 : x
  2. Step 2: Convert to fraction form
    118,974.60/178,478.31 = 69,078.20/x
  3. Step 3: Cross multiply
    118,974.60x = 178,478.31 × 69,078.20
  4. Step 4: Simplify right side
    118,974.60x = 12,328,959,501.45
  5. Step 5: Solve for x
    x = 12,328,959,501.45/118,974.60
  6. Step 6: Final answer
    x = 103,626.82

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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.