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Finding the Fourth Proportional to 221,379.76, 305,503.68 and 120,777.76

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Solution

The fourth proportional to 221,379.76, 305,503.68 and 120,777.76 is: 166,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,379.76 : 305,503.68 = 120,777.76 : x
  2. Step 2: Convert to fraction form
    221,379.76/305,503.68 = 120,777.76/x
  3. Step 3: Cross multiply
    221,379.76x = 305,503.68 × 120,777.76
  4. Step 4: Simplify right side
    221,379.76x = 36,898,050,142.16
  5. Step 5: Solve for x
    x = 36,898,050,142.16/221,379.76
  6. Step 6: Final answer
    x = 166,673.10

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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.