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Finding the Fourth Proportional to 208,452.46, 287,664.64 and 112,958.32

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Solution

The fourth proportional to 208,452.46, 287,664.64 and 112,958.32 is: 155,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,452.46 : 287,664.64 = 112,958.32 : x
  2. Step 2: Convert to fraction form
    208,452.46/287,664.64 = 112,958.32/x
  3. Step 3: Cross multiply
    208,452.46x = 287,664.64 × 112,958.32
  4. Step 4: Simplify right side
    208,452.46x = 32,494,114,457.80
  5. Step 5: Solve for x
    x = 32,494,114,457.80/208,452.46
  6. Step 6: Final answer
    x = 155,882.61

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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.