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Finding the Fourth Proportional to 210,643.49, 290,694.35 and 115,155.29

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Solution

The fourth proportional to 210,643.49, 290,694.35 and 115,155.29 is: 158,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,643.49 : 290,694.35 = 115,155.29 : x
  2. Step 2: Convert to fraction form
    210,643.49/290,694.35 = 115,155.29/x
  3. Step 3: Cross multiply
    210,643.49x = 290,694.35 × 115,155.29
  4. Step 4: Simplify right side
    210,643.49x = 33,474,992,175.61
  5. Step 5: Solve for x
    x = 33,474,992,175.61/210,643.49
  6. Step 6: Final answer
    x = 158,917.76

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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.