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Finding the Fourth Proportional to 75,491.40, 113,165.10 and 28,093.80

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Solution

The fourth proportional to 75,491.40, 113,165.10 and 28,093.80 is: 42,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,491.40 : 113,165.10 = 28,093.80 : x
  2. Step 2: Convert to fraction form
    75,491.40/113,165.10 = 28,093.80/x
  3. Step 3: Cross multiply
    75,491.40x = 113,165.10 × 28,093.80
  4. Step 4: Simplify right side
    75,491.40x = 3,179,237,686.38
  5. Step 5: Solve for x
    x = 3,179,237,686.38/75,491.40
  6. Step 6: Final answer
    x = 42,113.91

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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.