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Finding the Fourth Proportional to 205,377.41, 308,101.14 and 91,566.51

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Solution

The fourth proportional to 205,377.41, 308,101.14 and 91,566.51 is: 137,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,377.41 : 308,101.14 = 91,566.51 : x
  2. Step 2: Convert to fraction form
    205,377.41/308,101.14 = 91,566.51/x
  3. Step 3: Cross multiply
    205,377.41x = 308,101.14 × 91,566.51
  4. Step 4: Simplify right side
    205,377.41x = 28,211,746,116.82
  5. Step 5: Solve for x
    x = 28,211,746,116.82/205,377.41
  6. Step 6: Final answer
    x = 137,365.38

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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.