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Finding the Fourth Proportional to 230,187.78, 317,654.31 and 128,212.98

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Solution

The fourth proportional to 230,187.78, 317,654.31 and 128,212.98 is: 176,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,187.78 : 317,654.31 = 128,212.98 : x
  2. Step 2: Convert to fraction form
    230,187.78/317,654.31 = 128,212.98/x
  3. Step 3: Cross multiply
    230,187.78x = 317,654.31 × 128,212.98
  4. Step 4: Simplify right side
    230,187.78x = 40,727,405,694.94
  5. Step 5: Solve for x
    x = 40,727,405,694.94/230,187.78
  6. Step 6: Final answer
    x = 176,931.22

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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.