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Finding the Fourth Proportional to 78,563.57, 117,773.87 and 28,632.29

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Solution

The fourth proportional to 78,563.57, 117,773.87 and 28,632.29 is: 42,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,563.57 : 117,773.87 = 28,632.29 : x
  2. Step 2: Convert to fraction form
    78,563.57/117,773.87 = 28,632.29/x
  3. Step 3: Cross multiply
    78,563.57x = 117,773.87 × 28,632.29
  4. Step 4: Simplify right side
    78,563.57x = 3,372,134,868.23
  5. Step 5: Solve for x
    x = 3,372,134,868.23/78,563.57
  6. Step 6: Final answer
    x = 42,922.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.