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Finding the Fourth Proportional to 149,280.64, 205,999.68 and 82,199.68

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Solution

The fourth proportional to 149,280.64, 205,999.68 and 82,199.68 is: 113,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,280.64 : 205,999.68 = 82,199.68 : x
  2. Step 2: Convert to fraction form
    149,280.64/205,999.68 = 82,199.68/x
  3. Step 3: Cross multiply
    149,280.64x = 205,999.68 × 82,199.68
  4. Step 4: Simplify right side
    149,280.64x = 16,933,107,776.10
  5. Step 5: Solve for x
    x = 16,933,107,776.10/149,280.64
  6. Step 6: Final answer
    x = 113,431.37

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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.