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Finding the Fourth Proportional to 187,672.68, 258,984.54 and 102,789

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Solution

The fourth proportional to 187,672.68, 258,984.54 and 102,789 is: 141,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,672.68 : 258,984.54 = 102,789 : x
  2. Step 2: Convert to fraction form
    187,672.68/258,984.54 = 102,789/x
  3. Step 3: Cross multiply
    187,672.68x = 258,984.54 × 102,789
  4. Step 4: Simplify right side
    187,672.68x = 26,620,761,882.06
  5. Step 5: Solve for x
    x = 26,620,761,882.06/187,672.68
  6. Step 6: Final answer
    x = 141,846.76

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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.