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Finding the Fourth Proportional to 78,676.88, 117,884.04 and 55,261.40

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Solution

The fourth proportional to 78,676.88, 117,884.04 and 55,261.40 is: 82,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.88 : 117,884.04 = 55,261.40 : x
  2. Step 2: Convert to fraction form
    78,676.88/117,884.04 = 55,261.40/x
  3. Step 3: Cross multiply
    78,676.88x = 117,884.04 × 55,261.40
  4. Step 4: Simplify right side
    78,676.88x = 6,514,437,088.06
  5. Step 5: Solve for x
    x = 6,514,437,088.06/78,676.88
  6. Step 6: Final answer
    x = 82,799.89

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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.