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Finding the Fourth Proportional to 80,205, 120,307.50 and 24,801

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Solution

The fourth proportional to 80,205, 120,307.50 and 24,801 is: 37,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205 : 120,307.50 = 24,801 : x
  2. Step 2: Convert to fraction form
    80,205/120,307.50 = 24,801/x
  3. Step 3: Cross multiply
    80,205x = 120,307.50 × 24,801
  4. Step 4: Simplify right side
    80,205x = 2,983,746,307.50
  5. Step 5: Solve for x
    x = 2,983,746,307.50/80,205
  6. Step 6: Final answer
    x = 37,201.50

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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.