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Finding the Fourth Proportional to 208,598.79, 287,863.54 and 113,103.43

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Solution

The fourth proportional to 208,598.79, 287,863.54 and 113,103.43 is: 156,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,598.79 : 287,863.54 = 113,103.43 : x
  2. Step 2: Convert to fraction form
    208,598.79/287,863.54 = 113,103.43/x
  3. Step 3: Cross multiply
    208,598.79x = 287,863.54 × 113,103.43
  4. Step 4: Simplify right side
    208,598.79x = 32,558,353,745.94
  5. Step 5: Solve for x
    x = 32,558,353,745.94/208,598.79
  6. Step 6: Final answer
    x = 156,081.22

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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.