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Finding the Fourth Proportional to 202,566.36, 303,663.78 and 77,813.40

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Solution

The fourth proportional to 202,566.36, 303,663.78 and 77,813.40 is: 116,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,566.36 : 303,663.78 = 77,813.40 : x
  2. Step 2: Convert to fraction form
    202,566.36/303,663.78 = 77,813.40/x
  3. Step 3: Cross multiply
    202,566.36x = 303,663.78 × 77,813.40
  4. Step 4: Simplify right side
    202,566.36x = 23,629,111,178.65
  5. Step 5: Solve for x
    x = 23,629,111,178.65/202,566.36
  6. Step 6: Final answer
    x = 116,648.74

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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.