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Finding the Fourth Proportional to 43,805.77, 65,718.42 and 12,641.02

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Solution

The fourth proportional to 43,805.77, 65,718.42 and 12,641.02 is: 18,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,805.77 : 65,718.42 = 12,641.02 : x
  2. Step 2: Convert to fraction form
    43,805.77/65,718.42 = 12,641.02/x
  3. Step 3: Cross multiply
    43,805.77x = 65,718.42 × 12,641.02
  4. Step 4: Simplify right side
    43,805.77x = 830,747,861.59
  5. Step 5: Solve for x
    x = 830,747,861.59/43,805.77
  6. Step 6: Final answer
    x = 18,964.35

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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.