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Finding the Fourth Proportional to 157,400.78, 217,213.23 and 85,780.86

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Solution

The fourth proportional to 157,400.78, 217,213.23 and 85,780.86 is: 118,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,400.78 : 217,213.23 = 85,780.86 : x
  2. Step 2: Convert to fraction form
    157,400.78/217,213.23 = 85,780.86/x
  3. Step 3: Cross multiply
    157,400.78x = 217,213.23 × 85,780.86
  4. Step 4: Simplify right side
    157,400.78x = 18,632,737,672.78
  5. Step 5: Solve for x
    x = 18,632,737,672.78/157,400.78
  6. Step 6: Final answer
    x = 118,377.67

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1.5x scale

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.