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Finding the Fourth Proportional to 221,548.64, 305,883.76 and 136,790.24

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Solution

The fourth proportional to 221,548.64, 305,883.76 and 136,790.24 is: 188,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,548.64 : 305,883.76 = 136,790.24 : x
  2. Step 2: Convert to fraction form
    221,548.64/305,883.76 = 136,790.24/x
  3. Step 3: Cross multiply
    221,548.64x = 305,883.76 × 136,790.24
  4. Step 4: Simplify right side
    221,548.64x = 41,841,912,942.50
  5. Step 5: Solve for x
    x = 41,841,912,942.50/221,548.64
  6. Step 6: Final answer
    x = 188,861.07

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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.