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Finding the Fourth Proportional to 221,047.81, 305,082.90 and 130,426.22

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Solution

The fourth proportional to 221,047.81, 305,082.90 and 130,426.22 is: 180,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,047.81 : 305,082.90 = 130,426.22 : x
  2. Step 2: Convert to fraction form
    221,047.81/305,082.90 = 130,426.22/x
  3. Step 3: Cross multiply
    221,047.81x = 305,082.90 × 130,426.22
  4. Step 4: Simplify right side
    221,047.81x = 39,790,810,196.35
  5. Step 5: Solve for x
    x = 39,790,810,196.35/221,047.81
  6. Step 6: Final answer
    x = 180,009.97

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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.