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Finding the Fourth Proportional to 205,364.70, 308,026.17 and 139,229.82

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Solution

The fourth proportional to 205,364.70, 308,026.17 and 139,229.82 is: 208,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.70 : 308,026.17 = 139,229.82 : x
  2. Step 2: Convert to fraction form
    205,364.70/308,026.17 = 139,229.82/x
  3. Step 3: Cross multiply
    205,364.70x = 308,026.17 × 139,229.82
  4. Step 4: Simplify right side
    205,364.70x = 42,886,428,204.39
  5. Step 5: Solve for x
    x = 42,886,428,204.39/205,364.70
  6. Step 6: Final answer
    x = 208,830.57

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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.