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Finding the Fourth Proportional to 149,386, 206,157 and 82,322.32

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Solution

The fourth proportional to 149,386, 206,157 and 82,322.32 is: 113,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,386 : 206,157 = 82,322.32 : x
  2. Step 2: Convert to fraction form
    149,386/206,157 = 82,322.32/x
  3. Step 3: Cross multiply
    149,386x = 206,157 × 82,322.32
  4. Step 4: Simplify right side
    149,386x = 16,971,322,524.24
  5. Step 5: Solve for x
    x = 16,971,322,524.24/149,386
  6. Step 6: Final answer
    x = 113,607.18

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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.