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Finding the Fourth Proportional to 172,052.86, 257,974.44 and 77,264.62

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Solution

The fourth proportional to 172,052.86, 257,974.44 and 77,264.62 is: 115,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,052.86 : 257,974.44 = 77,264.62 : x
  2. Step 2: Convert to fraction form
    172,052.86/257,974.44 = 77,264.62/x
  3. Step 3: Cross multiply
    172,052.86x = 257,974.44 × 77,264.62
  4. Step 4: Simplify right side
    172,052.86x = 19,932,297,076.31
  5. Step 5: Solve for x
    x = 19,932,297,076.31/172,052.86
  6. Step 6: Final answer
    x = 115,849.84

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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.