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Finding the Fourth Proportional to 207,128.40, 285,847.50 and 116,512.88

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Solution

The fourth proportional to 207,128.40, 285,847.50 and 116,512.88 is: 160,793.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,128.40 : 285,847.50 = 116,512.88 : x
  2. Step 2: Convert to fraction form
    207,128.40/285,847.50 = 116,512.88/x
  3. Step 3: Cross multiply
    207,128.40x = 285,847.50 × 116,512.88
  4. Step 4: Simplify right side
    207,128.40x = 33,304,915,465.80
  5. Step 5: Solve for x
    x = 33,304,915,465.80/207,128.40
  6. Step 6: Final answer
    x = 160,793.57

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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.