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Finding the Fourth Proportional to 265,844.46, 398,698.65 and 78,812.22

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Solution

The fourth proportional to 265,844.46, 398,698.65 and 78,812.22 is: 118,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,844.46 : 398,698.65 = 78,812.22 : x
  2. Step 2: Convert to fraction form
    265,844.46/398,698.65 = 78,812.22/x
  3. Step 3: Cross multiply
    265,844.46x = 398,698.65 × 78,812.22
  4. Step 4: Simplify right side
    265,844.46x = 31,422,325,717.50
  5. Step 5: Solve for x
    x = 31,422,325,717.50/265,844.46
  6. Step 6: Final answer
    x = 118,198.16

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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.