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Finding the Fourth Proportional to 78,781.64, 118,224.98 and 40,865.86

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Solution

The fourth proportional to 78,781.64, 118,224.98 and 40,865.86 is: 61,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,781.64 : 118,224.98 = 40,865.86 : x
  2. Step 2: Convert to fraction form
    78,781.64/118,224.98 = 40,865.86/x
  3. Step 3: Cross multiply
    78,781.64x = 118,224.98 × 40,865.86
  4. Step 4: Simplify right side
    78,781.64x = 4,831,365,481.18
  5. Step 5: Solve for x
    x = 4,831,365,481.18/78,781.64
  6. Step 6: Final answer
    x = 61,326.03

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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.