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Finding the Fourth Proportional to 210,643.10, 290,687.56 and 115,149.78

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Solution

The fourth proportional to 210,643.10, 290,687.56 and 115,149.78 is: 158,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,643.10 : 290,687.56 = 115,149.78 : x
  2. Step 2: Convert to fraction form
    210,643.10/290,687.56 = 115,149.78/x
  3. Step 3: Cross multiply
    210,643.10x = 290,687.56 × 115,149.78
  4. Step 4: Simplify right side
    210,643.10x = 33,472,608,582.74
  5. Step 5: Solve for x
    x = 33,472,608,582.74/210,643.10
  6. Step 6: Final answer
    x = 158,906.74

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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.