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Finding the Fourth Proportional to 120,176.27, 165,836.50 and 65,717.63

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Solution

The fourth proportional to 120,176.27, 165,836.50 and 65,717.63 is: 90,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,176.27 : 165,836.50 = 65,717.63 : x
  2. Step 2: Convert to fraction form
    120,176.27/165,836.50 = 65,717.63/x
  3. Step 3: Cross multiply
    120,176.27x = 165,836.50 × 65,717.63
  4. Step 4: Simplify right side
    120,176.27x = 10,898,381,064.96
  5. Step 5: Solve for x
    x = 10,898,381,064.96/120,176.27
  6. Step 6: Final answer
    x = 90,686.63

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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.