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Finding the Fourth Proportional to 221,148.69, 305,184.47 and 120,546.69

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Solution

The fourth proportional to 221,148.69, 305,184.47 and 120,546.69 is: 166,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,148.69 : 305,184.47 = 120,546.69 : x
  2. Step 2: Convert to fraction form
    221,148.69/305,184.47 = 120,546.69/x
  3. Step 3: Cross multiply
    221,148.69x = 305,184.47 × 120,546.69
  4. Step 4: Simplify right side
    221,148.69x = 36,788,977,697.90
  5. Step 5: Solve for x
    x = 36,788,977,697.90/221,148.69
  6. Step 6: Final answer
    x = 166,354.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.