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Finding the Fourth Proportional to 210,873.60, 316,310.40 and 86,185.44

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Solution

The fourth proportional to 210,873.60, 316,310.40 and 86,185.44 is: 129,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,873.60 : 316,310.40 = 86,185.44 : x
  2. Step 2: Convert to fraction form
    210,873.60/316,310.40 = 86,185.44/x
  3. Step 3: Cross multiply
    210,873.60x = 316,310.40 × 86,185.44
  4. Step 4: Simplify right side
    210,873.60x = 27,261,351,000.58
  5. Step 5: Solve for x
    x = 27,261,351,000.58/210,873.60
  6. Step 6: Final answer
    x = 129,278.16

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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.