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Finding the Fourth Proportional to 165,086.40, 247,410.90 and 146,278.20

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Solution

The fourth proportional to 165,086.40, 247,410.90 and 146,278.20 is: 219,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,086.40 : 247,410.90 = 146,278.20 : x
  2. Step 2: Convert to fraction form
    165,086.40/247,410.90 = 146,278.20/x
  3. Step 3: Cross multiply
    165,086.40x = 247,410.90 × 146,278.20
  4. Step 4: Simplify right side
    165,086.40x = 36,190,821,112.38
  5. Step 5: Solve for x
    x = 36,190,821,112.38/165,086.40
  6. Step 6: Final answer
    x = 219,223.52

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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.