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Finding the Fourth Proportional to 172,125.63, 258,149.43 and 65,471.40

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Solution

The fourth proportional to 172,125.63, 258,149.43 and 65,471.40 is: 98,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,125.63 : 258,149.43 = 65,471.40 : x
  2. Step 2: Convert to fraction form
    172,125.63/258,149.43 = 65,471.40/x
  3. Step 3: Cross multiply
    172,125.63x = 258,149.43 × 65,471.40
  4. Step 4: Simplify right side
    172,125.63x = 16,901,404,591.30
  5. Step 5: Solve for x
    x = 16,901,404,591.30/172,125.63
  6. Step 6: Final answer
    x = 98,192.26

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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.