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Finding the Fourth Proportional to 210,596, 290,621.94 and 115,103.36

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Solution

The fourth proportional to 210,596, 290,621.94 and 115,103.36 is: 158,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,596 : 290,621.94 = 115,103.36 : x
  2. Step 2: Convert to fraction form
    210,596/290,621.94 = 115,103.36/x
  3. Step 3: Cross multiply
    210,596x = 290,621.94 × 115,103.36
  4. Step 4: Simplify right side
    210,596x = 33,451,561,783.72
  5. Step 5: Solve for x
    x = 33,451,561,783.72/210,596
  6. Step 6: Final answer
    x = 158,842.34

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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.