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Finding the Fourth Proportional to 145,409.38, 200,662.95 and 80,878

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Solution

The fourth proportional to 145,409.38, 200,662.95 and 80,878 is: 111,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,409.38 : 200,662.95 = 80,878 : x
  2. Step 2: Convert to fraction form
    145,409.38/200,662.95 = 80,878/x
  3. Step 3: Cross multiply
    145,409.38x = 200,662.95 × 80,878
  4. Step 4: Simplify right side
    145,409.38x = 16,229,218,070.10
  5. Step 5: Solve for x
    x = 16,229,218,070.10/145,409.38
  6. Step 6: Final answer
    x = 111,610.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.