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Finding the Fourth Proportional to 149,142.47, 205,816.64 and 82,074.47

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Solution

The fourth proportional to 149,142.47, 205,816.64 and 82,074.47 is: 113,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142.47 : 205,816.64 = 82,074.47 : x
  2. Step 2: Convert to fraction form
    149,142.47/205,816.64 = 82,074.47/x
  3. Step 3: Cross multiply
    149,142.47x = 205,816.64 × 82,074.47
  4. Step 4: Simplify right side
    149,142.47x = 16,892,292,364.91
  5. Step 5: Solve for x
    x = 16,892,292,364.91/149,142.47
  6. Step 6: Final answer
    x = 113,262.79

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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.