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Finding the Fourth Proportional to 145,558.43, 200,868.54 and 81,896.07

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Solution

The fourth proportional to 145,558.43, 200,868.54 and 81,896.07 is: 113,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,558.43 : 200,868.54 = 81,896.07 : x
  2. Step 2: Convert to fraction form
    145,558.43/200,868.54 = 81,896.07/x
  3. Step 3: Cross multiply
    145,558.43x = 200,868.54 × 81,896.07
  4. Step 4: Simplify right side
    145,558.43x = 16,450,344,012.64
  5. Step 5: Solve for x
    x = 16,450,344,012.64/145,558.43
  6. Step 6: Final answer
    x = 113,015.40

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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.