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Finding the Fourth Proportional to 105,644.48, 145,790.50 and 57,896.78

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Solution

The fourth proportional to 105,644.48, 145,790.50 and 57,896.78 is: 79,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,644.48 : 145,790.50 = 57,896.78 : x
  2. Step 2: Convert to fraction form
    105,644.48/145,790.50 = 57,896.78/x
  3. Step 3: Cross multiply
    105,644.48x = 145,790.50 × 57,896.78
  4. Step 4: Simplify right side
    105,644.48x = 8,440,800,504.59
  5. Step 5: Solve for x
    x = 8,440,800,504.59/105,644.48
  6. Step 6: Final answer
    x = 79,898.17

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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.