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Finding the Fourth Proportional to 102,286.99, 153,359.17 and 45,329.87

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Solution

The fourth proportional to 102,286.99, 153,359.17 and 45,329.87 is: 67,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,286.99 : 153,359.17 = 45,329.87 : x
  2. Step 2: Convert to fraction form
    102,286.99/153,359.17 = 45,329.87/x
  3. Step 3: Cross multiply
    102,286.99x = 153,359.17 × 45,329.87
  4. Step 4: Simplify right side
    102,286.99x = 6,951,751,239.41
  5. Step 5: Solve for x
    x = 6,951,751,239.41/102,286.99
  6. Step 6: Final answer
    x = 67,963.20

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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.