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Finding the Fourth Proportional to 172,982.80, 259,482.30 and 54,663.40

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Solution

The fourth proportional to 172,982.80, 259,482.30 and 54,663.40 is: 81,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,982.80 : 259,482.30 = 54,663.40 : x
  2. Step 2: Convert to fraction form
    172,982.80/259,482.30 = 54,663.40/x
  3. Step 3: Cross multiply
    172,982.80x = 259,482.30 × 54,663.40
  4. Step 4: Simplify right side
    172,982.80x = 14,184,184,757.82
  5. Step 5: Solve for x
    x = 14,184,184,757.82/172,982.80
  6. Step 6: Final answer
    x = 81,997.66

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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.