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Finding the Fourth Proportional to 202,565.30, 303,662.19 and 77,812.34

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Solution

The fourth proportional to 202,565.30, 303,662.19 and 77,812.34 is: 116,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,565.30 : 303,662.19 = 77,812.34 : x
  2. Step 2: Convert to fraction form
    202,565.30/303,662.19 = 77,812.34/x
  3. Step 3: Cross multiply
    202,565.30x = 303,662.19 × 77,812.34
  4. Step 4: Simplify right side
    202,565.30x = 23,628,665,573.42
  5. Step 5: Solve for x
    x = 23,628,665,573.42/202,565.30
  6. Step 6: Final answer
    x = 116,647.15

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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.