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Finding the Fourth Proportional to 187,705.76, 259,033.86 and 102,822.80

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Solution

The fourth proportional to 187,705.76, 259,033.86 and 102,822.80 is: 141,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,705.76 : 259,033.86 = 102,822.80 : x
  2. Step 2: Convert to fraction form
    187,705.76/259,033.86 = 102,822.80/x
  3. Step 3: Cross multiply
    187,705.76x = 259,033.86 × 102,822.80
  4. Step 4: Simplify right side
    187,705.76x = 26,634,586,780.01
  5. Step 5: Solve for x
    x = 26,634,586,780.01/187,705.76
  6. Step 6: Final answer
    x = 141,895.42

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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.