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Finding the Fourth Proportional to 76,420.34, 114,578.22 and 38,907.82

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Solution

The fourth proportional to 76,420.34, 114,578.22 and 38,907.82 is: 58,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420.34 : 114,578.22 = 38,907.82 : x
  2. Step 2: Convert to fraction form
    76,420.34/114,578.22 = 38,907.82/x
  3. Step 3: Cross multiply
    76,420.34x = 114,578.22 × 38,907.82
  4. Step 4: Simplify right side
    76,420.34x = 4,457,988,759.68
  5. Step 5: Solve for x
    x = 4,457,988,759.68/76,420.34
  6. Step 6: Final answer
    x = 58,335.11

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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.