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Finding the Fourth Proportional to 105,568.88, 145,683.96 and 57,821.84

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Solution

The fourth proportional to 105,568.88, 145,683.96 and 57,821.84 is: 79,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,568.88 : 145,683.96 = 57,821.84 : x
  2. Step 2: Convert to fraction form
    105,568.88/145,683.96 = 57,821.84/x
  3. Step 3: Cross multiply
    105,568.88x = 145,683.96 × 57,821.84
  4. Step 4: Simplify right side
    105,568.88x = 8,423,714,625.69
  5. Step 5: Solve for x
    x = 8,423,714,625.69/105,568.88
  6. Step 6: Final answer
    x = 79,793.54

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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.