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Finding the Fourth Proportional to 75,087.61, 103,616.42 and 41,089.78

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Solution

The fourth proportional to 75,087.61, 103,616.42 and 41,089.78 is: 56,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,087.61 : 103,616.42 = 41,089.78 : x
  2. Step 2: Convert to fraction form
    75,087.61/103,616.42 = 41,089.78/x
  3. Step 3: Cross multiply
    75,087.61x = 103,616.42 × 41,089.78
  4. Step 4: Simplify right side
    75,087.61x = 4,257,575,826.26
  5. Step 5: Solve for x
    x = 4,257,575,826.26/75,087.61
  6. Step 6: Final answer
    x = 56,701.44

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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.