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Finding the Fourth Proportional to 342,132.42, 472,123.74 and 189,161.67

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Solution

The fourth proportional to 342,132.42, 472,123.74 and 189,161.67 is: 261,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,132.42 : 472,123.74 = 189,161.67 : x
  2. Step 2: Convert to fraction form
    342,132.42/472,123.74 = 189,161.67/x
  3. Step 3: Cross multiply
    342,132.42x = 472,123.74 × 189,161.67
  4. Step 4: Simplify right side
    342,132.42x = 89,307,715,105.05
  5. Step 5: Solve for x
    x = 89,307,715,105.05/342,132.42
  6. Step 6: Final answer
    x = 261,032.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.