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Finding the Fourth Proportional to 43,363, 65,044.50 and 15,661

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Solution

The fourth proportional to 43,363, 65,044.50 and 15,661 is: 23,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,363 : 65,044.50 = 15,661 : x
  2. Step 2: Convert to fraction form
    43,363/65,044.50 = 15,661/x
  3. Step 3: Cross multiply
    43,363x = 65,044.50 × 15,661
  4. Step 4: Simplify right side
    43,363x = 1,018,661,914.50
  5. Step 5: Solve for x
    x = 1,018,661,914.50/43,363
  6. Step 6: Final answer
    x = 23,491.50

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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.