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Finding the Fourth Proportional to 150,857.64, 208,212.78 and 99,871.32

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Solution

The fourth proportional to 150,857.64, 208,212.78 and 99,871.32 is: 137,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,857.64 : 208,212.78 = 99,871.32 : x
  2. Step 2: Convert to fraction form
    150,857.64/208,212.78 = 99,871.32/x
  3. Step 3: Cross multiply
    150,857.64x = 208,212.78 × 99,871.32
  4. Step 4: Simplify right side
    150,857.64x = 20,794,485,179.47
  5. Step 5: Solve for x
    x = 20,794,485,179.47/150,857.64
  6. Step 6: Final answer
    x = 137,841.78

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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.