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Finding the Fourth Proportional to 76,137.79, 114,248.01 and 31,768.42

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Solution

The fourth proportional to 76,137.79, 114,248.01 and 31,768.42 is: 47,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,137.79 : 114,248.01 = 31,768.42 : x
  2. Step 2: Convert to fraction form
    76,137.79/114,248.01 = 31,768.42/x
  3. Step 3: Cross multiply
    76,137.79x = 114,248.01 × 31,768.42
  4. Step 4: Simplify right side
    76,137.79x = 3,629,478,765.84
  5. Step 5: Solve for x
    x = 3,629,478,765.84/76,137.79
  6. Step 6: Final answer
    x = 47,669.87

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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.