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Finding the Fourth Proportional to 87,190.56, 120,378.96 and 53,676

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Solution

The fourth proportional to 87,190.56, 120,378.96 and 53,676 is: 74,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,190.56 : 120,378.96 = 53,676 : x
  2. Step 2: Convert to fraction form
    87,190.56/120,378.96 = 53,676/x
  3. Step 3: Cross multiply
    87,190.56x = 120,378.96 × 53,676
  4. Step 4: Simplify right side
    87,190.56x = 6,461,461,056.96
  5. Step 5: Solve for x
    x = 6,461,461,056.96/87,190.56
  6. Step 6: Final answer
    x = 74,107.35

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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.