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Finding the Fourth Proportional to 149,327.60, 206,072.08 and 82,259.60

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Solution

The fourth proportional to 149,327.60, 206,072.08 and 82,259.60 is: 113,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,327.60 : 206,072.08 = 82,259.60 : x
  2. Step 2: Convert to fraction form
    149,327.60/206,072.08 = 82,259.60/x
  3. Step 3: Cross multiply
    149,327.60x = 206,072.08 × 82,259.60
  4. Step 4: Simplify right side
    149,327.60x = 16,951,406,871.97
  5. Step 5: Solve for x
    x = 16,951,406,871.97/149,327.60
  6. Step 6: Final answer
    x = 113,518.24

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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.