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Finding the Fourth Proportional to 78,156.88, 107,855.36 and 47,519.44

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Solution

The fourth proportional to 78,156.88, 107,855.36 and 47,519.44 is: 65,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.88 : 107,855.36 = 47,519.44 : x
  2. Step 2: Convert to fraction form
    78,156.88/107,855.36 = 47,519.44/x
  3. Step 3: Cross multiply
    78,156.88x = 107,855.36 × 47,519.44
  4. Step 4: Simplify right side
    78,156.88x = 5,125,226,308.20
  5. Step 5: Solve for x
    x = 5,125,226,308.20/78,156.88
  6. Step 6: Final answer
    x = 65,576.14

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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.