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Finding the Fourth Proportional to 206,155.62, 308,941.83 and 87,707.70

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Solution

The fourth proportional to 206,155.62, 308,941.83 and 87,707.70 is: 131,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,155.62 : 308,941.83 = 87,707.70 : x
  2. Step 2: Convert to fraction form
    206,155.62/308,941.83 = 87,707.70/x
  3. Step 3: Cross multiply
    206,155.62x = 308,941.83 × 87,707.70
  4. Step 4: Simplify right side
    206,155.62x = 27,096,577,343.09
  5. Step 5: Solve for x
    x = 27,096,577,343.09/206,155.62
  6. Step 6: Final answer
    x = 131,437.49

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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.