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Finding the Fourth Proportional to 150,776.32, 208,067.52 and 83,704

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Solution

The fourth proportional to 150,776.32, 208,067.52 and 83,704 is: 115,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,776.32 : 208,067.52 = 83,704 : x
  2. Step 2: Convert to fraction form
    150,776.32/208,067.52 = 83,704/x
  3. Step 3: Cross multiply
    150,776.32x = 208,067.52 × 83,704
  4. Step 4: Simplify right side
    150,776.32x = 17,416,083,694.08
  5. Step 5: Solve for x
    x = 17,416,083,694.08/150,776.32
  6. Step 6: Final answer
    x = 115,509.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.