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Finding the Fourth Proportional to 76,364.13, 114,651.01 and 38,949.42

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Solution

The fourth proportional to 76,364.13, 114,651.01 and 38,949.42 is: 58,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364.13 : 114,651.01 = 38,949.42 : x
  2. Step 2: Convert to fraction form
    76,364.13/114,651.01 = 38,949.42/x
  3. Step 3: Cross multiply
    76,364.13x = 114,651.01 × 38,949.42
  4. Step 4: Simplify right side
    76,364.13x = 4,465,590,820.54
  5. Step 5: Solve for x
    x = 4,465,590,820.54/76,364.13
  6. Step 6: Final answer
    x = 58,477.59

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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.