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Finding the Fourth Proportional to 43,641.32, 65,461.98 and 20,255

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Solution

The fourth proportional to 43,641.32, 65,461.98 and 20,255 is: 30,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,641.32 : 65,461.98 = 20,255 : x
  2. Step 2: Convert to fraction form
    43,641.32/65,461.98 = 20,255/x
  3. Step 3: Cross multiply
    43,641.32x = 65,461.98 × 20,255
  4. Step 4: Simplify right side
    43,641.32x = 1,325,932,404.90
  5. Step 5: Solve for x
    x = 1,325,932,404.90/43,641.32
  6. Step 6: Final answer
    x = 30,382.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.