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Finding the Fourth Proportional to 187,766.25, 259,123.50 and 102,888.78

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Solution

The fourth proportional to 187,766.25, 259,123.50 and 102,888.78 is: 141,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,766.25 : 259,123.50 = 102,888.78 : x
  2. Step 2: Convert to fraction form
    187,766.25/259,123.50 = 102,888.78/x
  3. Step 3: Cross multiply
    187,766.25x = 259,123.50 × 102,888.78
  4. Step 4: Simplify right side
    187,766.25x = 26,660,900,784.33
  5. Step 5: Solve for x
    x = 26,660,900,784.33/187,766.25
  6. Step 6: Final answer
    x = 141,989.85

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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.