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Finding the Fourth Proportional to 172,438.72, 258,628.56 and 47,750.56

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Solution

The fourth proportional to 172,438.72, 258,628.56 and 47,750.56 is: 71,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,438.72 : 258,628.56 = 47,750.56 : x
  2. Step 2: Convert to fraction form
    172,438.72/258,628.56 = 47,750.56/x
  3. Step 3: Cross multiply
    172,438.72x = 258,628.56 × 47,750.56
  4. Step 4: Simplify right side
    172,438.72x = 12,349,658,571.99
  5. Step 5: Solve for x
    x = 12,349,658,571.99/172,438.72
  6. Step 6: Final answer
    x = 71,617.67

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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.