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Finding the Fourth Proportional to 210,698.93, 290,843.58 and 138,106.49

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Solution

The fourth proportional to 210,698.93, 290,843.58 and 138,106.49 is: 190,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,698.93 : 290,843.58 = 138,106.49 : x
  2. Step 2: Convert to fraction form
    210,698.93/290,843.58 = 138,106.49/x
  3. Step 3: Cross multiply
    210,698.93x = 290,843.58 × 138,106.49
  4. Step 4: Simplify right side
    210,698.93x = 40,167,385,972.83
  5. Step 5: Solve for x
    x = 40,167,385,972.83/210,698.93
  6. Step 6: Final answer
    x = 190,638.78

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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.