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Finding the Fourth Proportional to 75,290.88, 103,898.12 and 45,093

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Solution

The fourth proportional to 75,290.88, 103,898.12 and 45,093 is: 62,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,290.88 : 103,898.12 = 45,093 : x
  2. Step 2: Convert to fraction form
    75,290.88/103,898.12 = 45,093/x
  3. Step 3: Cross multiply
    75,290.88x = 103,898.12 × 45,093
  4. Step 4: Simplify right side
    75,290.88x = 4,685,077,699.70
  5. Step 5: Solve for x
    x = 4,685,077,699.70/75,290.88
  6. Step 6: Final answer
    x = 62,226.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.