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Finding the Fourth Proportional to 279,958.16, 420,112.20 and 113,746.16

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Solution

The fourth proportional to 279,958.16, 420,112.20 and 113,746.16 is: 170,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,958.16 : 420,112.20 = 113,746.16 : x
  2. Step 2: Convert to fraction form
    279,958.16/420,112.20 = 113,746.16/x
  3. Step 3: Cross multiply
    279,958.16x = 420,112.20 × 113,746.16
  4. Step 4: Simplify right side
    279,958.16x = 47,786,149,519.15
  5. Step 5: Solve for x
    x = 47,786,149,519.15/279,958.16
  6. Step 6: Final answer
    x = 170,690.33

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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.