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Finding the Fourth Proportional to 75,969, 113,664.38 and 45,872.46

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Solution

The fourth proportional to 75,969, 113,664.38 and 45,872.46 is: 68,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969 : 113,664.38 = 45,872.46 : x
  2. Step 2: Convert to fraction form
    75,969/113,664.38 = 45,872.46/x
  3. Step 3: Cross multiply
    75,969x = 113,664.38 × 45,872.46
  4. Step 4: Simplify right side
    75,969x = 5,214,064,495.61
  5. Step 5: Solve for x
    x = 5,214,064,495.61/75,969
  6. Step 6: Final answer
    x = 68,634.11

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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.