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Finding the Fourth Proportional to 43,871, 65,813.34 and 14,281.86

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Solution

The fourth proportional to 43,871, 65,813.34 and 14,281.86 is: 21,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,871 : 65,813.34 = 14,281.86 : x
  2. Step 2: Convert to fraction form
    43,871/65,813.34 = 14,281.86/x
  3. Step 3: Cross multiply
    43,871x = 65,813.34 × 14,281.86
  4. Step 4: Simplify right side
    43,871x = 939,936,908.01
  5. Step 5: Solve for x
    x = 939,936,908.01/43,871
  6. Step 6: Final answer
    x = 21,425.02

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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.