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Finding the Fourth Proportional to 172,412.70, 258,583.49 and 65,772.66

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Solution

The fourth proportional to 172,412.70, 258,583.49 and 65,772.66 is: 98,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,412.70 : 258,583.49 = 65,772.66 : x
  2. Step 2: Convert to fraction form
    172,412.70/258,583.49 = 65,772.66/x
  3. Step 3: Cross multiply
    172,412.70x = 258,583.49 × 65,772.66
  4. Step 4: Simplify right side
    172,412.70x = 17,007,723,402.32
  5. Step 5: Solve for x
    x = 17,007,723,402.32/172,412.70
  6. Step 6: Final answer
    x = 98,645.42

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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.