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Finding the Fourth Proportional to 265,911.53, 398,866.41 and 78,923.03

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Solution

The fourth proportional to 265,911.53, 398,866.41 and 78,923.03 is: 118,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,911.53 : 398,866.41 = 78,923.03 : x
  2. Step 2: Convert to fraction form
    265,911.53/398,866.41 = 78,923.03/x
  3. Step 3: Cross multiply
    265,911.53x = 398,866.41 × 78,923.03
  4. Step 4: Simplify right side
    265,911.53x = 31,479,743,648.09
  5. Step 5: Solve for x
    x = 31,479,743,648.09/265,911.53
  6. Step 6: Final answer
    x = 118,384.28

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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.