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Finding the Fourth Proportional to 78,454.34, 117,644.44 and 28,499.62

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Solution

The fourth proportional to 78,454.34, 117,644.44 and 28,499.62 is: 42,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,454.34 : 117,644.44 = 28,499.62 : x
  2. Step 2: Convert to fraction form
    78,454.34/117,644.44 = 28,499.62/x
  3. Step 3: Cross multiply
    78,454.34x = 117,644.44 × 28,499.62
  4. Step 4: Simplify right side
    78,454.34x = 3,352,821,835.11
  5. Step 5: Solve for x
    x = 3,352,821,835.11/78,454.34
  6. Step 6: Final answer
    x = 42,735.96

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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.