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Finding the Fourth Proportional to 120,273.52, 165,867.80 and 103,272.44

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Solution

The fourth proportional to 120,273.52, 165,867.80 and 103,272.44 is: 142,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,273.52 : 165,867.80 = 103,272.44 : x
  2. Step 2: Convert to fraction form
    120,273.52/165,867.80 = 103,272.44/x
  3. Step 3: Cross multiply
    120,273.52x = 165,867.80 × 103,272.44
  4. Step 4: Simplify right side
    120,273.52x = 17,129,572,423.43
  5. Step 5: Solve for x
    x = 17,129,572,423.43/120,273.52
  6. Step 6: Final answer
    x = 142,421.81

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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.