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Finding the Fourth Proportional to 208,663.05, 287,955.35 and 113,169.83

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Solution

The fourth proportional to 208,663.05, 287,955.35 and 113,169.83 is: 156,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,663.05 : 287,955.35 = 113,169.83 : x
  2. Step 2: Convert to fraction form
    208,663.05/287,955.35 = 113,169.83/x
  3. Step 3: Cross multiply
    208,663.05x = 287,955.35 × 113,169.83
  4. Step 4: Simplify right side
    208,663.05x = 32,587,856,001.46
  5. Step 5: Solve for x
    x = 32,587,856,001.46/208,663.05
  6. Step 6: Final answer
    x = 156,174.54

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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.