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Finding the Fourth Proportional to 187,045, 258,087.86 and 106,467.80

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Solution

The fourth proportional to 187,045, 258,087.86 and 106,467.80 is: 146,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,045 : 258,087.86 = 106,467.80 : x
  2. Step 2: Convert to fraction form
    187,045/258,087.86 = 106,467.80/x
  3. Step 3: Cross multiply
    187,045x = 258,087.86 × 106,467.80
  4. Step 4: Simplify right side
    187,045x = 27,478,046,660.91
  5. Step 5: Solve for x
    x = 27,478,046,660.91/187,045
  6. Step 6: Final answer
    x = 146,906.07

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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.