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Finding the Fourth Proportional to 187,673.68, 258,985.92 and 102,790

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Solution

The fourth proportional to 187,673.68, 258,985.92 and 102,790 is: 141,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,673.68 : 258,985.92 = 102,790 : x
  2. Step 2: Convert to fraction form
    187,673.68/258,985.92 = 102,790/x
  3. Step 3: Cross multiply
    187,673.68x = 258,985.92 × 102,790
  4. Step 4: Simplify right side
    187,673.68x = 26,621,162,716.80
  5. Step 5: Solve for x
    x = 26,621,162,716.80/187,673.68
  6. Step 6: Final answer
    x = 141,848.14

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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.