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Finding the Fourth Proportional to 172,206, 258,350.40 and 59,869.80

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Solution

The fourth proportional to 172,206, 258,350.40 and 59,869.80 is: 89,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,206 : 258,350.40 = 59,869.80 : x
  2. Step 2: Convert to fraction form
    172,206/258,350.40 = 59,869.80/x
  3. Step 3: Cross multiply
    172,206x = 258,350.40 × 59,869.80
  4. Step 4: Simplify right side
    172,206x = 15,467,386,777.92
  5. Step 5: Solve for x
    x = 15,467,386,777.92/172,206
  6. Step 6: Final answer
    x = 89,819.09

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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.