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Finding the Fourth Proportional to 208,007.42, 311,728.39 and 87,964.58

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Solution

The fourth proportional to 208,007.42, 311,728.39 and 87,964.58 is: 131,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,007.42 : 311,728.39 = 87,964.58 : x
  2. Step 2: Convert to fraction form
    208,007.42/311,728.39 = 87,964.58/x
  3. Step 3: Cross multiply
    208,007.42x = 311,728.39 × 87,964.58
  4. Step 4: Simplify right side
    208,007.42x = 27,421,056,900.43
  5. Step 5: Solve for x
    x = 27,421,056,900.43/208,007.42
  6. Step 6: Final answer
    x = 131,827.30

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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.