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Finding the Fourth Proportional to 79,542, 119,313.72 and 24,138

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Solution

The fourth proportional to 79,542, 119,313.72 and 24,138 is: 36,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,542 : 119,313.72 = 24,138 : x
  2. Step 2: Convert to fraction form
    79,542/119,313.72 = 24,138/x
  3. Step 3: Cross multiply
    79,542x = 119,313.72 × 24,138
  4. Step 4: Simplify right side
    79,542x = 2,879,994,573.36
  5. Step 5: Solve for x
    x = 2,879,994,573.36/79,542
  6. Step 6: Final answer
    x = 36,207.22

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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.