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Finding the Fourth Proportional to 149,164.42, 205,800.48 and 84,622.98

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Solution

The fourth proportional to 149,164.42, 205,800.48 and 84,622.98 is: 116,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,164.42 : 205,800.48 = 84,622.98 : x
  2. Step 2: Convert to fraction form
    149,164.42/205,800.48 = 84,622.98/x
  3. Step 3: Cross multiply
    149,164.42x = 205,800.48 × 84,622.98
  4. Step 4: Simplify right side
    149,164.42x = 17,415,449,903.03
  5. Step 5: Solve for x
    x = 17,415,449,903.03/149,164.42
  6. Step 6: Final answer
    x = 116,753.38

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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.