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Finding the Fourth Proportional to 187,102.44, 258,201.54 and 102,220.92

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Solution

The fourth proportional to 187,102.44, 258,201.54 and 102,220.92 is: 141,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,102.44 : 258,201.54 = 102,220.92 : x
  2. Step 2: Convert to fraction form
    187,102.44/258,201.54 = 102,220.92/x
  3. Step 3: Cross multiply
    187,102.44x = 258,201.54 × 102,220.92
  4. Step 4: Simplify right side
    187,102.44x = 26,393,598,964.22
  5. Step 5: Solve for x
    x = 26,393,598,964.22/187,102.44
  6. Step 6: Final answer
    x = 141,064.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.