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Finding the Fourth Proportional to 48,105, 72,158.58 and 16,515

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Solution

The fourth proportional to 48,105, 72,158.58 and 16,515 is: 24,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,105 : 72,158.58 = 16,515 : x
  2. Step 2: Convert to fraction form
    48,105/72,158.58 = 16,515/x
  3. Step 3: Cross multiply
    48,105x = 72,158.58 × 16,515
  4. Step 4: Simplify right side
    48,105x = 1,191,698,948.70
  5. Step 5: Solve for x
    x = 1,191,698,948.70/48,105
  6. Step 6: Final answer
    x = 24,772.87

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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.