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Finding the Fourth Proportional to 221,337.72, 305,445.42 and 120,735

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Solution

The fourth proportional to 221,337.72, 305,445.42 and 120,735 is: 166,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,337.72 : 305,445.42 = 120,735 : x
  2. Step 2: Convert to fraction form
    221,337.72/305,445.42 = 120,735/x
  3. Step 3: Cross multiply
    221,337.72x = 305,445.42 × 120,735
  4. Step 4: Simplify right side
    221,337.72x = 36,877,952,783.70
  5. Step 5: Solve for x
    x = 36,877,952,783.70/221,337.72
  6. Step 6: Final answer
    x = 166,613.95

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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.