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Finding the Fourth Proportional to 117,563.72, 162,144.11 and 77,318.80

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Solution

The fourth proportional to 117,563.72, 162,144.11 and 77,318.80 is: 106,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,563.72 : 162,144.11 = 77,318.80 : x
  2. Step 2: Convert to fraction form
    117,563.72/162,144.11 = 77,318.80/x
  3. Step 3: Cross multiply
    117,563.72x = 162,144.11 × 77,318.80
  4. Step 4: Simplify right side
    117,563.72x = 12,536,787,800.20
  5. Step 5: Solve for x
    x = 12,536,787,800.20/117,563.72
  6. Step 6: Final answer
    x = 106,638.24

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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.