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Finding the Fourth Proportional to 78,523.72, 117,723.64 and 39,059.32

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Solution

The fourth proportional to 78,523.72, 117,723.64 and 39,059.32 is: 58,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,523.72 : 117,723.64 = 39,059.32 : x
  2. Step 2: Convert to fraction form
    78,523.72/117,723.64 = 39,059.32/x
  3. Step 3: Cross multiply
    78,523.72x = 117,723.64 × 39,059.32
  4. Step 4: Simplify right side
    78,523.72x = 4,598,205,326.32
  5. Step 5: Solve for x
    x = 4,598,205,326.32/78,523.72
  6. Step 6: Final answer
    x = 58,558.17

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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.