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Finding the Fourth Proportional to 210,797.91, 290,892.47 and 115,308.63

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Solution

The fourth proportional to 210,797.91, 290,892.47 and 115,308.63 is: 159,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,797.91 : 290,892.47 = 115,308.63 : x
  2. Step 2: Convert to fraction form
    210,797.91/290,892.47 = 115,308.63/x
  3. Step 3: Cross multiply
    210,797.91x = 290,892.47 × 115,308.63
  4. Step 4: Simplify right side
    210,797.91x = 33,542,411,616.47
  5. Step 5: Solve for x
    x = 33,542,411,616.47/210,797.91
  6. Step 6: Final answer
    x = 159,121.18

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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.