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Finding the Fourth Proportional to 157,077.75, 216,769.50 and 85,457.73

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Solution

The fourth proportional to 157,077.75, 216,769.50 and 85,457.73 is: 117,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077.75 : 216,769.50 = 85,457.73 : x
  2. Step 2: Convert to fraction form
    157,077.75/216,769.50 = 85,457.73/x
  3. Step 3: Cross multiply
    157,077.75x = 216,769.50 × 85,457.73
  4. Step 4: Simplify right side
    157,077.75x = 18,524,629,403.24
  5. Step 5: Solve for x
    x = 18,524,629,403.24/157,077.75
  6. Step 6: Final answer
    x = 117,932.87

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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.