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Finding the Fourth Proportional to 74,396.88, 102,656.16 and 47,563.20

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Solution

The fourth proportional to 74,396.88, 102,656.16 and 47,563.20 is: 65,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,396.88 : 102,656.16 = 47,563.20 : x
  2. Step 2: Convert to fraction form
    74,396.88/102,656.16 = 47,563.20/x
  3. Step 3: Cross multiply
    74,396.88x = 102,656.16 × 47,563.20
  4. Step 4: Simplify right side
    74,396.88x = 4,882,655,469.31
  5. Step 5: Solve for x
    x = 4,882,655,469.31/74,396.88
  6. Step 6: Final answer
    x = 65,629.84

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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.