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Finding the Fourth Proportional to 187,169.81, 258,294.44 and 102,286.87

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Solution

The fourth proportional to 187,169.81, 258,294.44 and 102,286.87 is: 141,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,169.81 : 258,294.44 = 102,286.87 : x
  2. Step 2: Convert to fraction form
    187,169.81/258,294.44 = 102,286.87/x
  3. Step 3: Cross multiply
    187,169.81x = 258,294.44 × 102,286.87
  4. Step 4: Simplify right side
    187,169.81x = 26,420,129,806.00
  5. Step 5: Solve for x
    x = 26,420,129,806.00/187,169.81
  6. Step 6: Final answer
    x = 141,155.94

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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.