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Finding the Fourth Proportional to 120,097.13, 165,623.86 and 72,267.44

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Solution

The fourth proportional to 120,097.13, 165,623.86 and 72,267.44 is: 99,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097.13 : 165,623.86 = 72,267.44 : x
  2. Step 2: Convert to fraction form
    120,097.13/165,623.86 = 72,267.44/x
  3. Step 3: Cross multiply
    120,097.13x = 165,623.86 × 72,267.44
  4. Step 4: Simplify right side
    120,097.13x = 11,969,212,365.12
  5. Step 5: Solve for x
    x = 11,969,212,365.12/120,097.13
  6. Step 6: Final answer
    x = 99,662.77

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1.5x scale

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.