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Finding the Fourth Proportional to 75,412.41, 104,069.98 and 41,421.69

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Solution

The fourth proportional to 75,412.41, 104,069.98 and 41,421.69 is: 57,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,412.41 : 104,069.98 = 41,421.69 : x
  2. Step 2: Convert to fraction form
    75,412.41/104,069.98 = 41,421.69/x
  3. Step 3: Cross multiply
    75,412.41x = 104,069.98 × 41,421.69
  4. Step 4: Simplify right side
    75,412.41x = 4,310,754,242.76
  5. Step 5: Solve for x
    x = 4,310,754,242.76/75,412.41
  6. Step 6: Final answer
    x = 57,162.40

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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.