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Finding the Fourth Proportional to 78,653.53, 117,997.58 and 57,813.85

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Solution

The fourth proportional to 78,653.53, 117,997.58 and 57,813.85 is: 86,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,653.53 : 117,997.58 = 57,813.85 : x
  2. Step 2: Convert to fraction form
    78,653.53/117,997.58 = 57,813.85/x
  3. Step 3: Cross multiply
    78,653.53x = 117,997.58 × 57,813.85
  4. Step 4: Simplify right side
    78,653.53x = 6,821,894,390.48
  5. Step 5: Solve for x
    x = 6,821,894,390.48/78,653.53
  6. Step 6: Final answer
    x = 86,733.48

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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.