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Finding the Fourth Proportional to 75,438.50, 113,008.31 and 51,687.68

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Solution

The fourth proportional to 75,438.50, 113,008.31 and 51,687.68 is: 77,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,438.50 : 113,008.31 = 51,687.68 : x
  2. Step 2: Convert to fraction form
    75,438.50/113,008.31 = 51,687.68/x
  3. Step 3: Cross multiply
    75,438.50x = 113,008.31 × 51,687.68
  4. Step 4: Simplify right side
    75,438.50x = 5,841,137,493.22
  5. Step 5: Solve for x
    x = 5,841,137,493.22/75,438.50
  6. Step 6: Final answer
    x = 77,429.13

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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.