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Finding the Fourth Proportional to 172,749.76, 259,112.14 and 54,454.96

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Solution

The fourth proportional to 172,749.76, 259,112.14 and 54,454.96 is: 81,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,749.76 : 259,112.14 = 54,454.96 : x
  2. Step 2: Convert to fraction form
    172,749.76/259,112.14 = 54,454.96/x
  3. Step 3: Cross multiply
    172,749.76x = 259,112.14 × 54,454.96
  4. Step 4: Simplify right side
    172,749.76x = 14,109,941,219.21
  5. Step 5: Solve for x
    x = 14,109,941,219.21/172,749.76
  6. Step 6: Final answer
    x = 81,678.50

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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.