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Finding the Fourth Proportional to 210,964.35, 316,449.78 and 68,809.02

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Solution

The fourth proportional to 210,964.35, 316,449.78 and 68,809.02 is: 103,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,964.35 : 316,449.78 = 68,809.02 : x
  2. Step 2: Convert to fraction form
    210,964.35/316,449.78 = 68,809.02/x
  3. Step 3: Cross multiply
    210,964.35x = 316,449.78 × 68,809.02
  4. Step 4: Simplify right side
    210,964.35x = 21,774,599,241.02
  5. Step 5: Solve for x
    x = 21,774,599,241.02/210,964.35
  6. Step 6: Final answer
    x = 103,214.59

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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.