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Finding the Fourth Proportional to 172,150, 258,225.06 and 47,491

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Solution

The fourth proportional to 172,150, 258,225.06 and 47,491 is: 71,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,150 : 258,225.06 = 47,491 : x
  2. Step 2: Convert to fraction form
    172,150/258,225.06 = 47,491/x
  3. Step 3: Cross multiply
    172,150x = 258,225.06 × 47,491
  4. Step 4: Simplify right side
    172,150x = 12,263,366,324.46
  5. Step 5: Solve for x
    x = 12,263,366,324.46/172,150
  6. Step 6: Final answer
    x = 71,236.52

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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.