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Finding the Fourth Proportional to 78,184.33, 107,893.62 and 43,728.68

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Solution

The fourth proportional to 78,184.33, 107,893.62 and 43,728.68 is: 60,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,184.33 : 107,893.62 = 43,728.68 : x
  2. Step 2: Convert to fraction form
    78,184.33/107,893.62 = 43,728.68/x
  3. Step 3: Cross multiply
    78,184.33x = 107,893.62 × 43,728.68
  4. Step 4: Simplify right side
    78,184.33x = 4,718,045,583.02
  5. Step 5: Solve for x
    x = 4,718,045,583.02/78,184.33
  6. Step 6: Final answer
    x = 60,345.16

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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.