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Finding the Fourth Proportional to 78,617.28, 117,905.08 and 53,652.84

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Solution

The fourth proportional to 78,617.28, 117,905.08 and 53,652.84 is: 80,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,617.28 : 117,905.08 = 53,652.84 : x
  2. Step 2: Convert to fraction form
    78,617.28/117,905.08 = 53,652.84/x
  3. Step 3: Cross multiply
    78,617.28x = 117,905.08 × 53,652.84
  4. Step 4: Simplify right side
    78,617.28x = 6,325,942,392.43
  5. Step 5: Solve for x
    x = 6,325,942,392.43/78,617.28
  6. Step 6: Final answer
    x = 80,465.04

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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.