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Finding the Fourth Proportional to 210,491.64, 290,478.42 and 119,842.92

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Solution

The fourth proportional to 210,491.64, 290,478.42 and 119,842.92 is: 165,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,491.64 : 290,478.42 = 119,842.92 : x
  2. Step 2: Convert to fraction form
    210,491.64/290,478.42 = 119,842.92/x
  3. Step 3: Cross multiply
    210,491.64x = 290,478.42 × 119,842.92
  4. Step 4: Simplify right side
    210,491.64x = 34,811,782,049.79
  5. Step 5: Solve for x
    x = 34,811,782,049.79/210,491.64
  6. Step 6: Final answer
    x = 165,383.21

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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.