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Finding the Fourth Proportional to 43,601, 65,402.13 and 12,436.25

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Solution

The fourth proportional to 43,601, 65,402.13 and 12,436.25 is: 18,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,601 : 65,402.13 = 12,436.25 : x
  2. Step 2: Convert to fraction form
    43,601/65,402.13 = 12,436.25/x
  3. Step 3: Cross multiply
    43,601x = 65,402.13 × 12,436.25
  4. Step 4: Simplify right side
    43,601x = 813,357,239.21
  5. Step 5: Solve for x
    x = 813,357,239.21/43,601
  6. Step 6: Final answer
    x = 18,654.55

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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.