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Finding the Fourth Proportional to 208,693.64, 287,989.44 and 113,197.16

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Solution

The fourth proportional to 208,693.64, 287,989.44 and 113,197.16 is: 156,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,693.64 : 287,989.44 = 113,197.16 : x
  2. Step 2: Convert to fraction form
    208,693.64/287,989.44 = 113,197.16/x
  3. Step 3: Cross multiply
    208,693.64x = 287,989.44 × 113,197.16
  4. Step 4: Simplify right side
    208,693.64x = 32,599,586,717.99
  5. Step 5: Solve for x
    x = 32,599,586,717.99/208,693.64
  6. Step 6: Final answer
    x = 156,207.86

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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.