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Finding the Fourth Proportional to 120,096.49, 165,749.63 and 69,108.18

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Solution

The fourth proportional to 120,096.49, 165,749.63 and 69,108.18 is: 95,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,096.49 : 165,749.63 = 69,108.18 : x
  2. Step 2: Convert to fraction form
    120,096.49/165,749.63 = 69,108.18/x
  3. Step 3: Cross multiply
    120,096.49x = 165,749.63 × 69,108.18
  4. Step 4: Simplify right side
    120,096.49x = 11,454,655,264.97
  5. Step 5: Solve for x
    x = 11,454,655,264.97/120,096.49
  6. Step 6: Final answer
    x = 95,378.77

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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.