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Finding the Fourth Proportional to 280,067.76, 420,097.86 and 69,707.52

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Solution

The fourth proportional to 280,067.76, 420,097.86 and 69,707.52 is: 104,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,067.76 : 420,097.86 = 69,707.52 : x
  2. Step 2: Convert to fraction form
    280,067.76/420,097.86 = 69,707.52/x
  3. Step 3: Cross multiply
    280,067.76x = 420,097.86 × 69,707.52
  4. Step 4: Simplify right side
    280,067.76x = 29,283,979,977.91
  5. Step 5: Solve for x
    x = 29,283,979,977.91/280,067.76
  6. Step 6: Final answer
    x = 104,560.34

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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.