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Finding the Fourth Proportional to 78,617.26, 117,905.10 and 53,652.82

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Solution

The fourth proportional to 78,617.26, 117,905.10 and 53,652.82 is: 80,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,617.26 : 117,905.10 = 53,652.82 : x
  2. Step 2: Convert to fraction form
    78,617.26/117,905.10 = 53,652.82/x
  3. Step 3: Cross multiply
    78,617.26x = 117,905.10 × 53,652.82
  4. Step 4: Simplify right side
    78,617.26x = 6,325,941,107.38
  5. Step 5: Solve for x
    x = 6,325,941,107.38/78,617.26
  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.