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Finding the Fourth Proportional to 150,865.26, 208,231.47 and 87,193.86

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Solution

The fourth proportional to 150,865.26, 208,231.47 and 87,193.86 is: 120,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,865.26 : 208,231.47 = 87,193.86 : x
  2. Step 2: Convert to fraction form
    150,865.26/208,231.47 = 87,193.86/x
  3. Step 3: Cross multiply
    150,865.26x = 208,231.47 × 87,193.86
  4. Step 4: Simplify right side
    150,865.26x = 18,156,505,642.77
  5. Step 5: Solve for x
    x = 18,156,505,642.77/150,865.26
  6. Step 6: Final answer
    x = 120,349.15

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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.