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Finding the Fourth Proportional to 188,793.78, 260,540.28 and 102,758.40

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Solution

The fourth proportional to 188,793.78, 260,540.28 and 102,758.40 is: 141,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,793.78 : 260,540.28 = 102,758.40 : x
  2. Step 2: Convert to fraction form
    188,793.78/260,540.28 = 102,758.40/x
  3. Step 3: Cross multiply
    188,793.78x = 260,540.28 × 102,758.40
  4. Step 4: Simplify right side
    188,793.78x = 26,772,702,308.35
  5. Step 5: Solve for x
    x = 26,772,702,308.35/188,793.78
  6. Step 6: Final answer
    x = 141,809.24

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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.