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Finding the Fourth Proportional to 208,451.52, 312,720.64 and 83,792.56

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Solution

The fourth proportional to 208,451.52, 312,720.64 and 83,792.56 is: 125,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,451.52 : 312,720.64 = 83,792.56 : x
  2. Step 2: Convert to fraction form
    208,451.52/312,720.64 = 83,792.56/x
  3. Step 3: Cross multiply
    208,451.52x = 312,720.64 × 83,792.56
  4. Step 4: Simplify right side
    208,451.52x = 26,203,662,990.44
  5. Step 5: Solve for x
    x = 26,203,662,990.44/208,451.52
  6. Step 6: Final answer
    x = 125,706.27

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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.