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Finding the Fourth Proportional to 187,768.53, 259,123.86 and 102,880.53

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Solution

The fourth proportional to 187,768.53, 259,123.86 and 102,880.53 is: 141,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,768.53 : 259,123.86 = 102,880.53 : x
  2. Step 2: Convert to fraction form
    187,768.53/259,123.86 = 102,880.53/x
  3. Step 3: Cross multiply
    187,768.53x = 259,123.86 × 102,880.53
  4. Step 4: Simplify right side
    187,768.53x = 26,658,800,052.45
  5. Step 5: Solve for x
    x = 26,658,800,052.45/187,768.53
  6. Step 6: Final answer
    x = 141,976.93

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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.