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Finding the Fourth Proportional to 150,834, 208,169.28 and 87,172.32

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Solution

The fourth proportional to 150,834, 208,169.28 and 87,172.32 is: 120,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,834 : 208,169.28 = 87,172.32 : x
  2. Step 2: Convert to fraction form
    150,834/208,169.28 = 87,172.32/x
  3. Step 3: Cross multiply
    150,834x = 208,169.28 × 87,172.32
  4. Step 4: Simplify right side
    150,834x = 18,146,599,090.33
  5. Step 5: Solve for x
    x = 18,146,599,090.33/150,834
  6. Step 6: Final answer
    x = 120,308.41

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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.