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Finding the Fourth Proportional to 210,884.40, 316,327.80 and 86,225.40

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Solution

The fourth proportional to 210,884.40, 316,327.80 and 86,225.40 is: 129,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,884.40 : 316,327.80 = 86,225.40 : x
  2. Step 2: Convert to fraction form
    210,884.40/316,327.80 = 86,225.40/x
  3. Step 3: Cross multiply
    210,884.40x = 316,327.80 × 86,225.40
  4. Step 4: Simplify right side
    210,884.40x = 27,275,491,086.12
  5. Step 5: Solve for x
    x = 27,275,491,086.12/210,884.40
  6. Step 6: Final answer
    x = 129,338.59

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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.