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Finding the Fourth Proportional to 43,601, 65,402.14 and 12,436.26

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Solution

The fourth proportional to 43,601, 65,402.14 and 12,436.26 is: 18,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,601 : 65,402.14 = 12,436.26 : x
  2. Step 2: Convert to fraction form
    43,601/65,402.14 = 12,436.26/x
  3. Step 3: Cross multiply
    43,601x = 65,402.14 × 12,436.26
  4. Step 4: Simplify right side
    43,601x = 813,358,017.60
  5. Step 5: Solve for x
    x = 813,358,017.60/43,601
  6. Step 6: Final answer
    x = 18,654.57

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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.