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Finding the Fourth Proportional to 172,545.84, 258,860.21 and 54,217.08

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Solution

The fourth proportional to 172,545.84, 258,860.21 and 54,217.08 is: 81,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,545.84 : 258,860.21 = 54,217.08 : x
  2. Step 2: Convert to fraction form
    172,545.84/258,860.21 = 54,217.08/x
  3. Step 3: Cross multiply
    172,545.84x = 258,860.21 × 54,217.08
  4. Step 4: Simplify right side
    172,545.84x = 14,034,644,714.39
  5. Step 5: Solve for x
    x = 14,034,644,714.39/172,545.84
  6. Step 6: Final answer
    x = 81,338.64

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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.