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Finding the Fourth Proportional to 43,841.64, 65,756.25 and 14,259.90

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Solution

The fourth proportional to 43,841.64, 65,756.25 and 14,259.90 is: 21,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,841.64 : 65,756.25 = 14,259.90 : x
  2. Step 2: Convert to fraction form
    43,841.64/65,756.25 = 14,259.90/x
  3. Step 3: Cross multiply
    43,841.64x = 65,756.25 × 14,259.90
  4. Step 4: Simplify right side
    43,841.64x = 937,677,549.38
  5. Step 5: Solve for x
    x = 937,677,549.38/43,841.64
  6. Step 6: Final answer
    x = 21,387.83

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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.