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Finding the Fourth Proportional to 78,623.93, 117,837.46 and 61,918

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Solution

The fourth proportional to 78,623.93, 117,837.46 and 61,918 is: 92,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,623.93 : 117,837.46 = 61,918 : x
  2. Step 2: Convert to fraction form
    78,623.93/117,837.46 = 61,918/x
  3. Step 3: Cross multiply
    78,623.93x = 117,837.46 × 61,918
  4. Step 4: Simplify right side
    78,623.93x = 7,296,259,848.28
  5. Step 5: Solve for x
    x = 7,296,259,848.28/78,623.93
  6. Step 6: Final answer
    x = 92,799.48

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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.