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Finding the Fourth Proportional to 100,411.92, 138,567.29 and 57,969.54

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Solution

The fourth proportional to 100,411.92, 138,567.29 and 57,969.54 is: 79,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411.92 : 138,567.29 = 57,969.54 : x
  2. Step 2: Convert to fraction form
    100,411.92/138,567.29 = 57,969.54/x
  3. Step 3: Cross multiply
    100,411.92x = 138,567.29 × 57,969.54
  4. Step 4: Simplify right side
    100,411.92x = 8,032,681,770.50
  5. Step 5: Solve for x
    x = 8,032,681,770.50/100,411.92
  6. Step 6: Final answer
    x = 79,997.29

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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.