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Finding the Fourth Proportional to 102,767.40, 154,229 and 43,644.58

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Solution

The fourth proportional to 102,767.40, 154,229 and 43,644.58 is: 65,499.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,767.40 : 154,229 = 43,644.58 : x
  2. Step 2: Convert to fraction form
    102,767.40/154,229 = 43,644.58/x
  3. Step 3: Cross multiply
    102,767.40x = 154,229 × 43,644.58
  4. Step 4: Simplify right side
    102,767.40x = 6,731,259,928.82
  5. Step 5: Solve for x
    x = 6,731,259,928.82/102,767.40
  6. Step 6: Final answer
    x = 65,499.95

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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.