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Finding the Fourth Proportional to 120,321.44, 165,663.16 and 105,971.12

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Solution

The fourth proportional to 120,321.44, 165,663.16 and 105,971.12 is: 145,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,321.44 : 165,663.16 = 105,971.12 : x
  2. Step 2: Convert to fraction form
    120,321.44/165,663.16 = 105,971.12/x
  3. Step 3: Cross multiply
    120,321.44x = 165,663.16 × 105,971.12
  4. Step 4: Simplify right side
    120,321.44x = 17,555,510,607.94
  5. Step 5: Solve for x
    x = 17,555,510,607.94/120,321.44
  6. Step 6: Final answer
    x = 145,905.09

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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.