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Finding the Fourth Proportional to 150,858.64, 208,214.16 and 99,872.32

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Solution

The fourth proportional to 150,858.64, 208,214.16 and 99,872.32 is: 137,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858.64 : 208,214.16 = 99,872.32 : x
  2. Step 2: Convert to fraction form
    150,858.64/208,214.16 = 99,872.32/x
  3. Step 3: Cross multiply
    150,858.64x = 208,214.16 × 99,872.32
  4. Step 4: Simplify right side
    150,858.64x = 20,794,831,216.05
  5. Step 5: Solve for x
    x = 20,794,831,216.05/150,858.64
  6. Step 6: Final answer
    x = 137,843.16

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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.