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Finding the Fourth Proportional to 208,472.96, 287,691.96 and 112,982

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Solution

The fourth proportional to 208,472.96, 287,691.96 and 112,982 is: 155,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,472.96 : 287,691.96 = 112,982 : x
  2. Step 2: Convert to fraction form
    208,472.96/287,691.96 = 112,982/x
  3. Step 3: Cross multiply
    208,472.96x = 287,691.96 × 112,982
  4. Step 4: Simplify right side
    208,472.96x = 32,504,013,024.72
  5. Step 5: Solve for x
    x = 32,504,013,024.72/208,472.96
  6. Step 6: Final answer
    x = 155,914.77

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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.