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Finding the Fourth Proportional to 189,003.53, 283,546.78 and 138,931.81

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Solution

The fourth proportional to 189,003.53, 283,546.78 and 138,931.81 is: 208,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,003.53 : 283,546.78 = 138,931.81 : x
  2. Step 2: Convert to fraction form
    189,003.53/283,546.78 = 138,931.81/x
  3. Step 3: Cross multiply
    189,003.53x = 283,546.78 × 138,931.81
  4. Step 4: Simplify right side
    189,003.53x = 39,393,666,308.88
  5. Step 5: Solve for x
    x = 39,393,666,308.88/189,003.53
  6. Step 6: Final answer
    x = 208,428.21

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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.