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Finding the Fourth Proportional to 210,229.31, 290,123.21 and 119,582.94

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Solution

The fourth proportional to 210,229.31, 290,123.21 and 119,582.94 is: 165,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,229.31 : 290,123.21 = 119,582.94 : x
  2. Step 2: Convert to fraction form
    210,229.31/290,123.21 = 119,582.94/x
  3. Step 3: Cross multiply
    210,229.31x = 290,123.21 × 119,582.94
  4. Step 4: Simplify right side
    210,229.31x = 34,693,786,414.04
  5. Step 5: Solve for x
    x = 34,693,786,414.04/210,229.31
  6. Step 6: Final answer
    x = 165,028.30

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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.