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Finding the Fourth Proportional to 187,801.26, 259,167.78 and 102,916.50

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Solution

The fourth proportional to 187,801.26, 259,167.78 and 102,916.50 is: 142,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,801.26 : 259,167.78 = 102,916.50 : x
  2. Step 2: Convert to fraction form
    187,801.26/259,167.78 = 102,916.50/x
  3. Step 3: Cross multiply
    187,801.26x = 259,167.78 × 102,916.50
  4. Step 4: Simplify right side
    187,801.26x = 26,672,640,830.37
  5. Step 5: Solve for x
    x = 26,672,640,830.37/187,801.26
  6. Step 6: Final answer
    x = 142,025.89

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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.