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Finding the Fourth Proportional to 210,908.21, 291,053.35 and 115,414.91

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Solution

The fourth proportional to 210,908.21, 291,053.35 and 115,414.91 is: 159,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,908.21 : 291,053.35 = 115,414.91 : x
  2. Step 2: Convert to fraction form
    210,908.21/291,053.35 = 115,414.91/x
  3. Step 3: Cross multiply
    210,908.21x = 291,053.35 × 115,414.91
  4. Step 4: Simplify right side
    210,908.21x = 33,591,895,618.37
  5. Step 5: Solve for x
    x = 33,591,895,618.37/210,908.21
  6. Step 6: Final answer
    x = 159,272.58

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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.