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Finding the Fourth Proportional to 75,144.90, 103,696.76 and 41,152.78

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Solution

The fourth proportional to 75,144.90, 103,696.76 and 41,152.78 is: 56,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144.90 : 103,696.76 = 41,152.78 : x
  2. Step 2: Convert to fraction form
    75,144.90/103,696.76 = 41,152.78/x
  3. Step 3: Cross multiply
    75,144.90x = 103,696.76 × 41,152.78
  4. Step 4: Simplify right side
    75,144.90x = 4,267,409,950.99
  5. Step 5: Solve for x
    x = 4,267,409,950.99/75,144.90
  6. Step 6: Final answer
    x = 56,789.08

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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.