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Finding the Fourth Proportional to 75,412.66, 104,070.32 and 41,421.94

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Solution

The fourth proportional to 75,412.66, 104,070.32 and 41,421.94 is: 57,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,412.66 : 104,070.32 = 41,421.94 : x
  2. Step 2: Convert to fraction form
    75,412.66/104,070.32 = 41,421.94/x
  3. Step 3: Cross multiply
    75,412.66x = 104,070.32 × 41,421.94
  4. Step 4: Simplify right side
    75,412.66x = 4,310,794,550.82
  5. Step 5: Solve for x
    x = 4,310,794,550.82/75,412.66
  6. Step 6: Final answer
    x = 57,162.75

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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.