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Finding the Fourth Proportional to 187,659.84, 258,960.90 and 102,760.50

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Solution

The fourth proportional to 187,659.84, 258,960.90 and 102,760.50 is: 141,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,659.84 : 258,960.90 = 102,760.50 : x
  2. Step 2: Convert to fraction form
    187,659.84/258,960.90 = 102,760.50/x
  3. Step 3: Cross multiply
    187,659.84x = 258,960.90 × 102,760.50
  4. Step 4: Simplify right side
    187,659.84x = 26,610,951,564.45
  5. Step 5: Solve for x
    x = 26,610,951,564.45/187,659.84
  6. Step 6: Final answer
    x = 141,804.19

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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.