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Finding the Fourth Proportional to 178,168.80, 245,893.68 and 102,720

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Solution

The fourth proportional to 178,168.80, 245,893.68 and 102,720 is: 141,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,168.80 : 245,893.68 = 102,720 : x
  2. Step 2: Convert to fraction form
    178,168.80/245,893.68 = 102,720/x
  3. Step 3: Cross multiply
    178,168.80x = 245,893.68 × 102,720
  4. Step 4: Simplify right side
    178,168.80x = 25,258,198,809.60
  5. Step 5: Solve for x
    x = 25,258,198,809.60/178,168.80
  6. Step 6: Final answer
    x = 141,765.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.