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Finding the Fourth Proportional to 72,803.96, 109,193.76 and 20,218.76

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Solution

The fourth proportional to 72,803.96, 109,193.76 and 20,218.76 is: 30,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,803.96 : 109,193.76 = 20,218.76 : x
  2. Step 2: Convert to fraction form
    72,803.96/109,193.76 = 20,218.76/x
  3. Step 3: Cross multiply
    72,803.96x = 109,193.76 × 20,218.76
  4. Step 4: Simplify right side
    72,803.96x = 2,207,762,426.94
  5. Step 5: Solve for x
    x = 2,207,762,426.94/72,803.96
  6. Step 6: Final answer
    x = 30,324.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.