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Finding the Fourth Proportional to 210,844.88, 316,267.62 and 86,185.88

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Solution

The fourth proportional to 210,844.88, 316,267.62 and 86,185.88 is: 129,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,844.88 : 316,267.62 = 86,185.88 : x
  2. Step 2: Convert to fraction form
    210,844.88/316,267.62 = 86,185.88/x
  3. Step 3: Cross multiply
    210,844.88x = 316,267.62 × 86,185.88
  4. Step 4: Simplify right side
    210,844.88x = 27,257,801,563.87
  5. Step 5: Solve for x
    x = 27,257,801,563.87/210,844.88
  6. Step 6: Final answer
    x = 129,278.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.