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Finding the Fourth Proportional to 208,820.28, 313,230.42 and 51,048.48

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Solution

The fourth proportional to 208,820.28, 313,230.42 and 51,048.48 is: 76,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,820.28 : 313,230.42 = 51,048.48 : x
  2. Step 2: Convert to fraction form
    208,820.28/313,230.42 = 51,048.48/x
  3. Step 3: Cross multiply
    208,820.28x = 313,230.42 × 51,048.48
  4. Step 4: Simplify right side
    208,820.28x = 15,989,936,830.76
  5. Step 5: Solve for x
    x = 15,989,936,830.76/208,820.28
  6. Step 6: Final answer
    x = 76,572.72

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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.