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Finding the Fourth Proportional to 43,412, 65,126.46 and 18,451.76

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Solution

The fourth proportional to 43,412, 65,126.46 and 18,451.76 is: 27,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,412 : 65,126.46 = 18,451.76 : x
  2. Step 2: Convert to fraction form
    43,412/65,126.46 = 18,451.76/x
  3. Step 3: Cross multiply
    43,412x = 65,126.46 × 18,451.76
  4. Step 4: Simplify right side
    43,412x = 1,201,697,809.57
  5. Step 5: Solve for x
    x = 1,201,697,809.57/43,412
  6. Step 6: Final answer
    x = 27,681.24

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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.