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Finding the Fourth Proportional to 100,138.77, 150,209.68 and 32,670.50

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Solution

The fourth proportional to 100,138.77, 150,209.68 and 32,670.50 is: 49,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,138.77 : 150,209.68 = 32,670.50 : x
  2. Step 2: Convert to fraction form
    100,138.77/150,209.68 = 32,670.50/x
  3. Step 3: Cross multiply
    100,138.77x = 150,209.68 × 32,670.50
  4. Step 4: Simplify right side
    100,138.77x = 4,907,425,644.29
  5. Step 5: Solve for x
    x = 4,907,425,644.29/100,138.77
  6. Step 6: Final answer
    x = 49,006.25

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1.5x scale

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.