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Finding the Fourth Proportional to 100,509.69, 138,693.54 and 58,067.31

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Solution

The fourth proportional to 100,509.69, 138,693.54 and 58,067.31 is: 80,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.69 : 138,693.54 = 58,067.31 : x
  2. Step 2: Convert to fraction form
    100,509.69/138,693.54 = 58,067.31/x
  3. Step 3: Cross multiply
    100,509.69x = 138,693.54 × 58,067.31
  4. Step 4: Simplify right side
    100,509.69x = 8,053,560,782.18
  5. Step 5: Solve for x
    x = 8,053,560,782.18/100,509.69
  6. Step 6: Final answer
    x = 80,127.21

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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.