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Finding the Fourth Proportional to 210,648.42, 290,623.82 and 119,940.21

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Solution

The fourth proportional to 210,648.42, 290,623.82 and 119,940.21 is: 165,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,648.42 : 290,623.82 = 119,940.21 : x
  2. Step 2: Convert to fraction form
    210,648.42/290,623.82 = 119,940.21/x
  3. Step 3: Cross multiply
    210,648.42x = 290,623.82 × 119,940.21
  4. Step 4: Simplify right side
    210,648.42x = 34,857,481,402.10
  5. Step 5: Solve for x
    x = 34,857,481,402.10/210,648.42
  6. Step 6: Final answer
    x = 165,477.06

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1.5x scale

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.