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Finding the Fourth Proportional to 210,145.88, 290,018.49 and 119,530.19

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Solution

The fourth proportional to 210,145.88, 290,018.49 and 119,530.19 is: 164,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,145.88 : 290,018.49 = 119,530.19 : x
  2. Step 2: Convert to fraction form
    210,145.88/290,018.49 = 119,530.19/x
  3. Step 3: Cross multiply
    210,145.88x = 290,018.49 × 119,530.19
  4. Step 4: Simplify right side
    210,145.88x = 34,665,965,213.21
  5. Step 5: Solve for x
    x = 34,665,965,213.21/210,145.88
  6. Step 6: Final answer
    x = 164,961.43

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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.