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Finding the Fourth Proportional to 228,564.80, 342,847.20 and 80,820.80

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Solution

The fourth proportional to 228,564.80, 342,847.20 and 80,820.80 is: 121,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,564.80 : 342,847.20 = 80,820.80 : x
  2. Step 2: Convert to fraction form
    228,564.80/342,847.20 = 80,820.80/x
  3. Step 3: Cross multiply
    228,564.80x = 342,847.20 × 80,820.80
  4. Step 4: Simplify right side
    228,564.80x = 27,709,184,981.76
  5. Step 5: Solve for x
    x = 27,709,184,981.76/228,564.80
  6. Step 6: Final answer
    x = 121,231.20

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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.