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Finding the Fourth Proportional to 283,505.06, 425,265.80 and 73,143

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Solution

The fourth proportional to 283,505.06, 425,265.80 and 73,143 is: 109,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,505.06 : 425,265.80 = 73,143 : x
  2. Step 2: Convert to fraction form
    283,505.06/425,265.80 = 73,143/x
  3. Step 3: Cross multiply
    283,505.06x = 425,265.80 × 73,143
  4. Step 4: Simplify right side
    283,505.06x = 31,105,216,043.69
  5. Step 5: Solve for x
    x = 31,105,216,043.69/283,505.06
  6. Step 6: Final answer
    x = 109,716.62

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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.