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Finding the Fourth Proportional to 75,143, 103,697.34 and 41,609

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Solution

The fourth proportional to 75,143, 103,697.34 and 41,609 is: 57,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143 : 103,697.34 = 41,609 : x
  2. Step 2: Convert to fraction form
    75,143/103,697.34 = 41,609/x
  3. Step 3: Cross multiply
    75,143x = 103,697.34 × 41,609
  4. Step 4: Simplify right side
    75,143x = 4,314,742,620.06
  5. Step 5: Solve for x
    x = 4,314,742,620.06/75,143
  6. Step 6: Final answer
    x = 57,420.42

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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.