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Finding the Fourth Proportional to 78,185.88, 107,893.86 and 46,335.90

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Solution

The fourth proportional to 78,185.88, 107,893.86 and 46,335.90 is: 63,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,185.88 : 107,893.86 = 46,335.90 : x
  2. Step 2: Convert to fraction form
    78,185.88/107,893.86 = 46,335.90/x
  3. Step 3: Cross multiply
    78,185.88x = 107,893.86 × 46,335.90
  4. Step 4: Simplify right side
    78,185.88x = 4,999,359,107.57
  5. Step 5: Solve for x
    x = 4,999,359,107.57/78,185.88
  6. Step 6: Final answer
    x = 63,941.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.