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Finding the Fourth Proportional to 230,016, 317,415.68 and 128,042.24

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Solution

The fourth proportional to 230,016, 317,415.68 and 128,042.24 is: 176,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,016 : 317,415.68 = 128,042.24 : x
  2. Step 2: Convert to fraction form
    230,016/317,415.68 = 128,042.24/x
  3. Step 3: Cross multiply
    230,016x = 317,415.68 × 128,042.24
  4. Step 4: Simplify right side
    230,016x = 40,642,614,678.32
  5. Step 5: Solve for x
    x = 40,642,614,678.32/230,016
  6. Step 6: Final answer
    x = 176,694.73

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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.