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Finding the Fourth Proportional to 149,278.68, 205,995.24 and 82,210.68

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Solution

The fourth proportional to 149,278.68, 205,995.24 and 82,210.68 is: 113,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,278.68 : 205,995.24 = 82,210.68 : x
  2. Step 2: Convert to fraction form
    149,278.68/205,995.24 = 82,210.68/x
  3. Step 3: Cross multiply
    149,278.68x = 205,995.24 × 82,210.68
  4. Step 4: Simplify right side
    149,278.68x = 16,935,008,757.16
  5. Step 5: Solve for x
    x = 16,935,008,757.16/149,278.68
  6. Step 6: Final answer
    x = 113,445.60

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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.