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Finding the Fourth Proportional to 213,513.76, 319,804.08 and 108,151.84

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Solution

The fourth proportional to 213,513.76, 319,804.08 and 108,151.84 is: 161,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,513.76 : 319,804.08 = 108,151.84 : x
  2. Step 2: Convert to fraction form
    213,513.76/319,804.08 = 108,151.84/x
  3. Step 3: Cross multiply
    213,513.76x = 319,804.08 × 108,151.84
  4. Step 4: Simplify right side
    213,513.76x = 34,587,399,691.51
  5. Step 5: Solve for x
    x = 34,587,399,691.51/213,513.76
  6. Step 6: Final answer
    x = 161,991.43

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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.