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Finding the Fourth Proportional to 208,013.54, 312,067.28 and 65,867.45

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Solution

The fourth proportional to 208,013.54, 312,067.28 and 65,867.45 is: 98,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,013.54 : 312,067.28 = 65,867.45 : x
  2. Step 2: Convert to fraction form
    208,013.54/312,067.28 = 65,867.45/x
  3. Step 3: Cross multiply
    208,013.54x = 312,067.28 × 65,867.45
  4. Step 4: Simplify right side
    208,013.54x = 20,555,074,566.37
  5. Step 5: Solve for x
    x = 20,555,074,566.37/208,013.54
  6. Step 6: Final answer
    x = 98,816.04

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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.