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Finding the Fourth Proportional to 156,659.80, 216,189.84 and 85,039.24

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Solution

The fourth proportional to 156,659.80, 216,189.84 and 85,039.24 is: 117,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,659.80 : 216,189.84 = 85,039.24 : x
  2. Step 2: Convert to fraction form
    156,659.80/216,189.84 = 85,039.24/x
  3. Step 3: Cross multiply
    156,659.80x = 216,189.84 × 85,039.24
  4. Step 4: Simplify right side
    156,659.80x = 18,384,619,689.32
  5. Step 5: Solve for x
    x = 18,384,619,689.32/156,659.80
  6. Step 6: Final answer
    x = 117,353.78

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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.