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Finding the Fourth Proportional to 51,173.68, 76,662.04 and 31,394.48

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Solution

The fourth proportional to 51,173.68, 76,662.04 and 31,394.48 is: 47,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173.68 : 76,662.04 = 31,394.48 : x
  2. Step 2: Convert to fraction form
    51,173.68/76,662.04 = 31,394.48/x
  3. Step 3: Cross multiply
    51,173.68x = 76,662.04 × 31,394.48
  4. Step 4: Simplify right side
    51,173.68x = 2,406,764,881.54
  5. Step 5: Solve for x
    x = 2,406,764,881.54/51,173.68
  6. Step 6: Final answer
    x = 47,031.30

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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.