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Finding the Fourth Proportional to 210,454.62, 290,422.66 and 114,961.69

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Solution

The fourth proportional to 210,454.62, 290,422.66 and 114,961.69 is: 158,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,454.62 : 290,422.66 = 114,961.69 : x
  2. Step 2: Convert to fraction form
    210,454.62/290,422.66 = 114,961.69/x
  3. Step 3: Cross multiply
    210,454.62x = 290,422.66 × 114,961.69
  4. Step 4: Simplify right side
    210,454.62x = 33,387,480,322.17
  5. Step 5: Solve for x
    x = 33,387,480,322.17/210,454.62
  6. Step 6: Final answer
    x = 158,644.56

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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.