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Finding the Fourth Proportional to 229,716.80, 316,986.72 and 129,112.64

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Solution

The fourth proportional to 229,716.80, 316,986.72 and 129,112.64 is: 178,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716.80 : 316,986.72 = 129,112.64 : x
  2. Step 2: Convert to fraction form
    229,716.80/316,986.72 = 129,112.64/x
  3. Step 3: Cross multiply
    229,716.80x = 316,986.72 × 129,112.64
  4. Step 4: Simplify right side
    229,716.80x = 40,926,992,264.14
  5. Step 5: Solve for x
    x = 40,926,992,264.14/229,716.80
  6. Step 6: Final answer
    x = 178,162.82

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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.