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Finding the Fourth Proportional to 187,690.80, 259,013.40 and 102,809.28

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Solution

The fourth proportional to 187,690.80, 259,013.40 and 102,809.28 is: 141,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,690.80 : 259,013.40 = 102,809.28 : x
  2. Step 2: Convert to fraction form
    187,690.80/259,013.40 = 102,809.28/x
  3. Step 3: Cross multiply
    187,690.80x = 259,013.40 × 102,809.28
  4. Step 4: Simplify right side
    187,690.80x = 26,628,981,164.35
  5. Step 5: Solve for x
    x = 26,628,981,164.35/187,690.80
  6. Step 6: Final answer
    x = 141,876.86

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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.