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Finding the Fourth Proportional to 75,490.39, 104,178.07 and 41,500.31

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Solution

The fourth proportional to 75,490.39, 104,178.07 and 41,500.31 is: 57,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,490.39 : 104,178.07 = 41,500.31 : x
  2. Step 2: Convert to fraction form
    75,490.39/104,178.07 = 41,500.31/x
  3. Step 3: Cross multiply
    75,490.39x = 104,178.07 × 41,500.31
  4. Step 4: Simplify right side
    75,490.39x = 4,323,421,992.70
  5. Step 5: Solve for x
    x = 4,323,421,992.70/75,490.39
  6. Step 6: Final answer
    x = 57,271.16

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