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Finding the Fourth Proportional to 210,682.98, 290,743.74 and 115,189.67

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Solution

The fourth proportional to 210,682.98, 290,743.74 and 115,189.67 is: 158,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,682.98 : 290,743.74 = 115,189.67 : x
  2. Step 2: Convert to fraction form
    210,682.98/290,743.74 = 115,189.67/x
  3. Step 3: Cross multiply
    210,682.98x = 290,743.74 × 115,189.67
  4. Step 4: Simplify right side
    210,682.98x = 33,490,676,192.03
  5. Step 5: Solve for x
    x = 33,490,676,192.03/210,682.98
  6. Step 6: Final answer
    x = 158,962.42

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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.