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Finding the Fourth Proportional to 122,372.56, 183,536.94 and 77,867.11

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Solution

The fourth proportional to 122,372.56, 183,536.94 and 77,867.11 is: 116,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,372.56 : 183,536.94 = 77,867.11 : x
  2. Step 2: Convert to fraction form
    122,372.56/183,536.94 = 77,867.11/x
  3. Step 3: Cross multiply
    122,372.56x = 183,536.94 × 77,867.11
  4. Step 4: Simplify right side
    122,372.56x = 14,291,491,617.47
  5. Step 5: Solve for x
    x = 14,291,491,617.47/122,372.56
  6. Step 6: Final answer
    x = 116,786.73

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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.