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Finding the Fourth Proportional to 79,819, 119,728.55 and 24,415

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Solution

The fourth proportional to 79,819, 119,728.55 and 24,415 is: 36,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,819 : 119,728.55 = 24,415 : x
  2. Step 2: Convert to fraction form
    79,819/119,728.55 = 24,415/x
  3. Step 3: Cross multiply
    79,819x = 119,728.55 × 24,415
  4. Step 4: Simplify right side
    79,819x = 2,923,172,426.18
  5. Step 5: Solve for x
    x = 2,923,172,426.18/79,819
  6. Step 6: Final answer
    x = 36,622.51

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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.