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Finding the Fourth Proportional to 120,273.77, 165,868.13 and 103,272.68

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Solution

The fourth proportional to 120,273.77, 165,868.13 and 103,272.68 is: 142,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.77 : 165,868.13 = 103,272.68 : x
  2. Step 2: Convert to fraction form
    120,273.77/165,868.13 = 103,272.68/x
  3. Step 3: Cross multiply
    120,273.77x = 165,868.13 × 103,272.68
  4. Step 4: Simplify right side
    120,273.77x = 17,129,644,965.98
  5. Step 5: Solve for x
    x = 17,129,644,965.98/120,273.77
  6. Step 6: Final answer
    x = 142,422.12

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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.