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Finding the Fourth Proportional to 102,238.10, 153,029.10 and 79,930.70

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Solution

The fourth proportional to 102,238.10, 153,029.10 and 79,930.70 is: 119,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238.10 : 153,029.10 = 79,930.70 : x
  2. Step 2: Convert to fraction form
    102,238.10/153,029.10 = 79,930.70/x
  3. Step 3: Cross multiply
    102,238.10x = 153,029.10 × 79,930.70
  4. Step 4: Simplify right side
    102,238.10x = 12,231,723,083.37
  5. Step 5: Solve for x
    x = 12,231,723,083.37/102,238.10
  6. Step 6: Final answer
    x = 119,639.58

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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.