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Finding the Fourth Proportional to 187,421.52, 258,616.20 and 111,954

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Solution

The fourth proportional to 187,421.52, 258,616.20 and 111,954 is: 154,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,421.52 : 258,616.20 = 111,954 : x
  2. Step 2: Convert to fraction form
    187,421.52/258,616.20 = 111,954/x
  3. Step 3: Cross multiply
    187,421.52x = 258,616.20 × 111,954
  4. Step 4: Simplify right side
    187,421.52x = 28,953,118,054.80
  5. Step 5: Solve for x
    x = 28,953,118,054.80/187,421.52
  6. Step 6: Final answer
    x = 154,481.29

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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.