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Finding the Fourth Proportional to 172,044, 258,087.87 and 47,385

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Solution

The fourth proportional to 172,044, 258,087.87 and 47,385 is: 71,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,044 : 258,087.87 = 47,385 : x
  2. Step 2: Convert to fraction form
    172,044/258,087.87 = 47,385/x
  3. Step 3: Cross multiply
    172,044x = 258,087.87 × 47,385
  4. Step 4: Simplify right side
    172,044x = 12,229,493,719.95
  5. Step 5: Solve for x
    x = 12,229,493,719.95/172,044
  6. Step 6: Final answer
    x = 71,083.52

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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.