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Finding the Fourth Proportional to 187,662.64, 258,978.72 and 102,778.96

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Solution

The fourth proportional to 187,662.64, 258,978.72 and 102,778.96 is: 141,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,662.64 : 258,978.72 = 102,778.96 : x
  2. Step 2: Convert to fraction form
    187,662.64/258,978.72 = 102,778.96/x
  3. Step 3: Cross multiply
    187,662.64x = 258,978.72 × 102,778.96
  4. Step 4: Simplify right side
    187,662.64x = 26,617,563,503.73
  5. Step 5: Solve for x
    x = 26,617,563,503.73/187,662.64
  6. Step 6: Final answer
    x = 141,837.31

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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.