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Finding the Fourth Proportional to 172,602.38, 258,914.74 and 54,278.30

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Solution

The fourth proportional to 172,602.38, 258,914.74 and 54,278.30 is: 81,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,602.38 : 258,914.74 = 54,278.30 : x
  2. Step 2: Convert to fraction form
    172,602.38/258,914.74 = 54,278.30/x
  3. Step 3: Cross multiply
    172,602.38x = 258,914.74 × 54,278.30
  4. Step 4: Simplify right side
    172,602.38x = 14,053,451,932.14
  5. Step 5: Solve for x
    x = 14,053,451,932.14/172,602.38
  6. Step 6: Final answer
    x = 81,420.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.