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Finding the Fourth Proportional to 208,634.79, 287,916.17 and 113,141.46

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Solution

The fourth proportional to 208,634.79, 287,916.17 and 113,141.46 is: 156,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,634.79 : 287,916.17 = 113,141.46 : x
  2. Step 2: Convert to fraction form
    208,634.79/287,916.17 = 113,141.46/x
  3. Step 3: Cross multiply
    208,634.79x = 287,916.17 × 113,141.46
  4. Step 4: Simplify right side
    208,634.79x = 32,575,255,265.70
  5. Step 5: Solve for x
    x = 32,575,255,265.70/208,634.79
  6. Step 6: Final answer
    x = 156,135.30

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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.