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Finding the Fourth Proportional to 202,805.74, 303,570.78 and 139,253.95

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Solution

The fourth proportional to 202,805.74, 303,570.78 and 139,253.95 is: 208,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,805.74 : 303,570.78 = 139,253.95 : x
  2. Step 2: Convert to fraction form
    202,805.74/303,570.78 = 139,253.95/x
  3. Step 3: Cross multiply
    202,805.74x = 303,570.78 × 139,253.95
  4. Step 4: Simplify right side
    202,805.74x = 42,273,430,219.58
  5. Step 5: Solve for x
    x = 42,273,430,219.58/202,805.74
  6. Step 6: Final answer
    x = 208,442.97

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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.