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Finding the Fourth Proportional to 66,461.34, 91,722.11 and 37,790

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Solution

The fourth proportional to 66,461.34, 91,722.11 and 37,790 is: 52,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,461.34 : 91,722.11 = 37,790 : x
  2. Step 2: Convert to fraction form
    66,461.34/91,722.11 = 37,790/x
  3. Step 3: Cross multiply
    66,461.34x = 91,722.11 × 37,790
  4. Step 4: Simplify right side
    66,461.34x = 3,466,178,536.90
  5. Step 5: Solve for x
    x = 3,466,178,536.90/66,461.34
  6. Step 6: Final answer
    x = 52,153.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.