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Finding the Fourth Proportional to 172,094.38, 258,102.59 and 65,440.31

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Solution

The fourth proportional to 172,094.38, 258,102.59 and 65,440.31 is: 98,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,094.38 : 258,102.59 = 65,440.31 : x
  2. Step 2: Convert to fraction form
    172,094.38/258,102.59 = 65,440.31/x
  3. Step 3: Cross multiply
    172,094.38x = 258,102.59 × 65,440.31
  4. Step 4: Simplify right side
    172,094.38x = 16,890,313,819.46
  5. Step 5: Solve for x
    x = 16,890,313,819.46/172,094.38
  6. Step 6: Final answer
    x = 98,145.65

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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.