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Finding the Fourth Proportional to 75,139.72, 103,694.74 and 41,150.08

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Solution

The fourth proportional to 75,139.72, 103,694.74 and 41,150.08 is: 56,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,139.72 : 103,694.74 = 41,150.08 : x
  2. Step 2: Convert to fraction form
    75,139.72/103,694.74 = 41,150.08/x
  3. Step 3: Cross multiply
    75,139.72x = 103,694.74 × 41,150.08
  4. Step 4: Simplify right side
    75,139.72x = 4,267,046,328.11
  5. Step 5: Solve for x
    x = 4,267,046,328.11/75,139.72
  6. Step 6: Final answer
    x = 56,788.16

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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.